157361356800 has 1260 divisors, whose sum is σ = 639500694336. Its totient is φ = 38220595200.

The previous prime is 157361356799. The next prime is 157361356843. The reversal of 157361356800 is 8653163751.

157361356800 is a `hidden beast` number, since 1 + 5 + 73 + 6 + 13 + 568 + 0 + 0 = 666.

It is a super-2 number, since 2×157361356800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5076172785 + ... + 5076172815.

Almost surely, 2^157361356800 is an apocalyptic number.

157361356800 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 157361356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319750347168).

157361356800 is an abundant number, since it is smaller than the sum of its proper divisors (482139337536).

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

157361356800 is an frugal number, since it uses more digits than its factorization.

157361356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 157361356800 in words is "one hundred fifty-seven billion, three hundred sixty-one million, three hundred fifty-six thousand, eight hundred".