157091692800 has 864 divisors, whose sum is σ = 626299914240. Its totient is φ = 33900134400.

The previous prime is 157091692721. The next prime is 157091692817. The reversal of 157091692800 is 8296190751.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 157091692800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 275116515 + ... + 275117085.

It is an arithmetic number, because the mean of its divisors is an integer number (724884160).

Almost surely, 2^157091692800 is an apocalyptic number.

157091692800 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 157091692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313149957120).

157091692800 is an abundant number, since it is smaller than the sum of its proper divisors (469208221440).

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

157091692800 is a wasteful number, since it uses less digits than its factorization.

157091692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 157091692800 in words is "one hundred fifty-seven billion, ninety-one million, six hundred ninety-two thousand, eight hundred".