99780374937600 has 4320 divisors, whose sum is σ = 450283380019200. Its totient is φ = 21058698608640.

The previous prime is 99780374937587. The next prime is 99780374937631. The reversal of 99780374937600 is 673947308799.

99780374937600 is a `hidden beast` number, since 9 + 9 + 7 + 8 + 0 + 3 + 7 + 4 + 9 + 3 + 7 + 600 = 666.

It is a super-2 number, since 2×99780374937600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1366854451164 + ... + 1366854451236.

Almost surely, 2^{99780374937600} is an apocalyptic number.

99780374937600 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 99780374937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225141690009600).

99780374937600 is an abundant number, since it is smaller than the sum of its proper divisors (350503005081600).

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

99780374937600 is a wasteful number, since it uses less digits than its factorization.

99780374937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 432081216, while the sum is 72.

The spelling of 99780374937600 in words is "ninety-nine trillion, seven hundred eighty billion, three hundred seventy-four million, nine hundred thirty-seven thousand, six hundred".