90408699763200 has 3360 divisors, whose sum is σ = 437723402409216. Its totient is φ = 17950302535680.

The previous prime is 90408699763169. The next prime is 90408699763229. The reversal of 90408699763200 is 236799680409.

90408699763200 is a `hidden beast` number, since 9 + 0 + 408 + 69 + 97 + 63 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 14435363269 + ... + 14435369531.

Almost surely, 2^{90408699763200} is an apocalyptic number.

90408699763200 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 90408699763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218861701204608).

90408699763200 is an abundant number, since it is smaller than the sum of its proper divisors (347314702646016).

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

90408699763200 is a wasteful number, since it uses less digits than its factorization.

90408699763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 90408699763200 in words is "ninety trillion, four hundred eight billion, six hundred ninety-nine million, seven hundred sixty-three thousand, two hundred".