157355573760 has 720 divisors, whose sum is σ = 691626304512. Its totient is φ = 32694681600.

The previous prime is 157355573747. The next prime is 157355573789. The reversal of 157355573760 is 67375553751.

It is a happy number.

157355573760 is a `hidden beast` number, since 1 + 5 + 7 + 3 + 5 + 5 + 573 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×157355573760³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 157355573697 and 157355573706.

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 71 ways as a sum of consecutive naturals, for example, 12412225 + ... + 12424895.

Almost surely, 2^157355573760 is an apocalyptic number.

157355573760 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 157355573760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345813152256).

157355573760 is an abundant number, since it is smaller than the sum of its proper divisors (534270730752).

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

157355573760 is a wasteful number, since it uses less digits than its factorization.

157355573760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12725 (or 12699 counting only the distinct ones).

The product of its (nonzero) digits is 11576250, while the sum is 54.

The spelling of 157355573760 in words is "one hundred fifty-seven billion, three hundred fifty-five million, five hundred seventy-three thousand, seven hundred sixty".