90779164538400 has 1728 divisors, whose sum is σ = 390747736544256. Its totient is φ = 20352466944000.

The previous prime is 90779164538393. The next prime is 90779164538449. The reversal of 90779164538400 is 483546197709.

90779164538400 is a `hidden beast` number, since 9 + 0 + 7 + 7 + 91 + 6 + 4 + 538 + 4 + 0 + 0 = 666.

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, 1331800320 + ... + 1331868480.

It is an arithmetic number, because the mean of its divisors is an integer number (226127162352).

Almost surely, 2^{90779164538400} is an apocalyptic number.

90779164538400 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 90779164538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195373868272128).

90779164538400 is an abundant number, since it is smaller than the sum of its proper divisors (299968572005856).

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

90779164538400 is a wasteful number, since it uses less digits than its factorization.

90779164538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68257 (or 68232 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 90779164538400 in words is "ninety trillion, seven hundred seventy-nine billion, one hundred sixty-four million, five hundred thirty-eight thousand, four hundred".