157096260864 has 288 divisors, whose sum is σ = 492914688000. Its totient is φ = 49213495296.

The previous prime is 157096260863. The next prime is 157096260869. The reversal of 157096260864 is 468062690751.

157096260864 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 9 + 626 + 0 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 157096260864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157096260863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16673947 + ... + 16683365.

Almost surely, 2^157096260864 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 157096260864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246457344000).

157096260864 is an abundant number, since it is smaller than the sum of its proper divisors (335818427136).

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

157096260864 is a wasteful number, since it uses less digits than its factorization.

157096260864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9590 (or 9570 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 157096260864 in words is "one hundred fifty-seven billion, ninety-six million, two hundred sixty thousand, eight hundred sixty-four".