99683078400 has 324 divisors, whose sum is σ = 363124953828. Its totient is φ = 26079805440.

The previous prime is 99683078389. The next prime is 99683078413. The reversal of 99683078400 is 487038699.

99683078400 is a `hidden beast` number, since 9 + 96 + 83 + 0 + 78 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 654541056 + 99028537344 = 25584^2 + 314688^2 .

It is a super-2 number, since 2×99683078400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3036474 + ... + 3069126.

Almost surely, 2^99683078400 is an apocalyptic number.

99683078400 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 99683078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181562476914).

99683078400 is an abundant number, since it is smaller than the sum of its proper divisors (263441875428).

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

99683078400 is a wasteful number, since it uses less digits than its factorization.

99683078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32738 (or 32716 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 99683078400 in words is "ninety-nine billion, six hundred eighty-three million, seventy-eight thousand, four hundred".