99288750240 has 384 divisors, whose sum is σ = 372517367040. Its totient is φ = 24918036480.

The previous prime is 99288750193. The next prime is 99288750271. The reversal of 99288750240 is 4205788299.

99288750240 is a `hidden beast` number, since 9 + 92 + 8 + 8 + 7 + 502 + 40 = 666.

It is a super-2 number, since 2×99288750240² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5940295 + ... + 5956985.

It is an arithmetic number, because the mean of its divisors is an integer number (970097310).

Almost surely, 2^99288750240 is an apocalyptic number.

99288750240 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 99288750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186258683520).

99288750240 is an abundant number, since it is smaller than the sum of its proper divisors (273228616800).

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

99288750240 is a wasteful number, since it uses less digits than its factorization.

99288750240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16744 (or 16718 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 99288750240 in words is "ninety-nine billion, two hundred eighty-eight million, seven hundred fifty thousand, two hundred forty".