99515957760 has 480 divisors, whose sum is σ = 357602236992. Its totient is φ = 25555599360.

The previous prime is 99515957759. The next prime is 99515957767. The reversal of 99515957760 is 6775951599.

99515957760 is a `hidden beast` number, since 9 + 9 + 5 + 1 + 59 + 577 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (99515957767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91214815 + ... + 91215905.

Almost surely, 2^99515957760 is an apocalyptic number.

99515957760 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 99515957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178801118496).

99515957760 is an abundant number, since it is smaller than the sum of its proper divisors (258086279232).

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

99515957760 is a wasteful number, since it uses less digits than its factorization.

99515957760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 26790750, while the sum is 63.

The spelling of 99515957760 in words is "ninety-nine billion, five hundred fifteen million, nine hundred fifty-seven thousand, seven hundred sixty".