157006012800 has 768 divisors, whose sum is σ = 648678481920. Its totient is φ = 32491929600.

The previous prime is 157006012771. The next prime is 157006012829. The reversal of 157006012800 is 8210600751.

It is an interprime number because it is at equal distance from previous prime (157006012771) and next prime (157006012829).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46299105 + ... + 46302495.

It is an arithmetic number, because the mean of its divisors is an integer number (844633440).

Almost surely, 2^157006012800 is an apocalyptic number.

157006012800 is a gapful number since it is divisible by the number (10) 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 157006012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324339240960).

157006012800 is an abundant number, since it is smaller than the sum of its proper divisors (491672469120).

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

157006012800 is a wasteful number, since it uses less digits than its factorization.

157006012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 157006012800 in words is "one hundred fifty-seven billion, six million, twelve thousand, eight hundred".