157556391300000 has 4608 divisors, whose sum is σ = 742949248204800. Its totient is φ = 31539456000000.

The previous prime is 157556391299981. The next prime is 157556391300019. The reversal of 157556391300000 is 3193655751.

157556391300000 is a `hidden beast` number, since 1 + 5 + 7 + 5 + 5 + 639 + 1 + 3 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (157556391299981) and next prime (157556391300019).

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 870477299910 + ... + 870477300090.

It is an arithmetic number, because the mean of its divisors is an integer number (161230305600).

Almost surely, 2^{157556391300000} is an apocalyptic number.

157556391300000 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 157556391300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371474624102400).

157556391300000 is an abundant number, since it is smaller than the sum of its proper divisors (585392856904800).

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

157556391300000 is a wasteful number, since it uses less digits than its factorization.

157556391300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The spelling of 157556391300000 in words is "one hundred fifty-seven trillion, five hundred fifty-six billion, three hundred ninety-one million, three hundred thousand".