157755506688 has 504 divisors, whose sum is σ = 513447959808. Its totient is φ = 48157949952.

The previous prime is 157755506669. The next prime is 157755506693. The reversal of 157755506688 is 886605557751.

157755506688 is a `hidden beast` number, since 1 + 5 + 7 + 75 + 550 + 6 + 6 + 8 + 8 = 666.

It is a super-2 number, since 2×157755506688² (a number of 23 digits) contains 22 as substring.

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 27 ways as a sum of consecutive naturals, for example, 1242169281 + ... + 1242169407.

It is an arithmetic number, because the mean of its divisors is an integer number (1018745952).

Almost surely, 2^157755506688 is an apocalyptic number.

157755506688 is a gapful number since it is divisible by the number (18) 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 157755506688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256723979904).

157755506688 is an abundant number, since it is smaller than the sum of its proper divisors (355692453120).

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

157755506688 is an frugal number, since it uses more digits than its factorization.

157755506688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 70560000, while the sum is 63.

The spelling of 157755506688 in words is "one hundred fifty-seven billion, seven hundred fifty-five million, five hundred six thousand, six hundred eighty-eight".