157988626560 has 768 divisors, whose sum is σ = 591208450560. Its totient is φ = 38772670464.

The previous prime is 157988626541. The next prime is 157988626567. The reversal of 157988626560 is 65626889751.

157988626560 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 8 + 8 + 62 + 6 + 560 = 666.

It is a super-2 number, since 2×157988626560² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (157988626567) by changing a digit.

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, 818593824 + ... + 818594016.

It is an arithmetic number, because the mean of its divisors is an integer number (769802670).

Almost surely, 2^157988626560 is an apocalyptic number.

157988626560 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 157988626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295604225280).

157988626560 is an abundant number, since it is smaller than the sum of its proper divisors (433219824000).

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

157988626560 is a wasteful number, since it uses less digits than its factorization.

157988626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 157988626560 in words is "one hundred fifty-seven billion, nine hundred eighty-eight million, six hundred twenty-six thousand, five hundred sixty".