157017530256552 has 512 divisors, whose sum is σ = 504026357760000. Its totient is φ = 44365042656000.

The previous prime is 157017530256497. The next prime is 157017530256581. The reversal of 157017530256552 is 255652035710751.

157017530256552 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 1 + 7 + 5 + 30 + 2 + 56 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77007125149 + ... + 77007127187.

It is an arithmetic number, because the mean of its divisors is an integer number (984426480000).

Almost surely, 2^{157017530256552} is an apocalyptic number.

157017530256552 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 157017530256552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252013178880000).

157017530256552 is an abundant number, since it is smaller than the sum of its proper divisors (347008827503448).

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

157017530256552 is a wasteful number, since it uses less digits than its factorization.

157017530256552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 11025000, while the sum is 54.

The spelling of 157017530256552 in words is "one hundred fifty-seven trillion, seventeen billion, five hundred thirty million, two hundred fifty-six thousand, five hundred fifty-two".