157096943437824 has 1728 divisors, whose sum is σ = 532806843179520. Its totient is φ = 45973642936320.

The previous prime is 157096943437799. The next prime is 157096943437831. The reversal of 157096943437824 is 428734349690751.

157096943437824 is a `hidden beast` number, since 1 + 5 + 70 + 9 + 6 + 9 + 43 + 437 + 82 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 362810492712 + ... + 362810493144.

It is a 1-persistent number, because it is pandigital, but 2⋅157096943437824 = 314193886875648 is not.

Almost surely, 2^{157096943437824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157096943437824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266403421589760).

157096943437824 is an abundant number, since it is smaller than the sum of its proper divisors (375709899741696).

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

157096943437824 is an frugal number, since it uses more digits than its factorization.

157096943437824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 157096943437824 in words is "one hundred fifty-seven trillion, ninety-six billion, nine hundred forty-three million, four hundred thirty-seven thousand, eight hundred twenty-four".