157585585752 has 512 divisors, whose sum is σ = 541591142400. Its totient is φ = 41498956800.

The previous prime is 157585585747. The next prime is 157585585757. The reversal of 157585585752 is 257585585751.

157585585752 is a `hidden beast` number, since 1 + 5 + 7 + 5 + 8 + 5 + 58 + 575 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (157585585747) and next prime (157585585757).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 157585585752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157585585757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82634383 + ... + 82636289.

It is an arithmetic number, because the mean of its divisors is an integer number (1057795200).

Almost surely, 2^157585585752 is an apocalyptic number.

157585585752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157585585752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270795571200).

157585585752 is an abundant number, since it is smaller than the sum of its proper divisors (384005556648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157585585752 is a wasteful number, since it uses less digits than its factorization.

157585585752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2034 counting only the distinct ones).

The product of its digits is 98000000, while the sum is 63.

Subtracting 157585585752 from its reverse (257585585751), we obtain a palindrome (99999999999).

The spelling of 157585585752 in words is "one hundred fifty-seven billion, five hundred eighty-five million, five hundred eighty-five thousand, seven hundred fifty-two".