99732971520 has 896 divisors, whose sum is σ = 436852039680. Its totient is φ = 21021327360.

The previous prime is 99732971491. The next prime is 99732971521. The reversal of 99732971520 is 2517923799.

99732971520 is a `hidden beast` number, since 9 + 97 + 3 + 29 + 7 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×99732971520² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99732971521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100638225 + ... + 100639215.

It is an arithmetic number, because the mean of its divisors is an integer number (487558080).

Almost surely, 2^99732971520 is an apocalyptic number.

99732971520 is a gapful number since it is divisible by the number (90) 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 99732971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218426019840).

99732971520 is an abundant number, since it is smaller than the sum of its proper divisors (337119068160).

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

99732971520 is a wasteful number, since it uses less digits than its factorization.

99732971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 99732971520 in words is "ninety-nine billion, seven hundred thirty-two million, nine hundred seventy-one thousand, five hundred twenty".