157532322816 has 528 divisors, whose sum is σ = 513731102976. Its totient is φ = 46080000000.

The previous prime is 157532322797. The next prime is 157532322911. The reversal of 157532322816 is 618223235751.

157532322816 is a `hidden beast` number, since 1 + 5 + 7 + 532 + 32 + 2 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

Its product of digits (604800) is a multiple of the sum of its prime factors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 627618691 + ... + 627618941.

Almost surely, 2^157532322816 is an apocalyptic number.

157532322816 is a gapful number since it is divisible by the number (16) 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 157532322816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256865551488).

157532322816 is an abundant number, since it is smaller than the sum of its proper divisors (356198780160).

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

157532322816 is a wasteful number, since it uses less digits than its factorization.

157532322816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 459 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 157532322816 in words is "one hundred fifty-seven billion, five hundred thirty-two million, three hundred twenty-two thousand, eight hundred sixteen".