90713779200 has 1320 divisors, whose sum is σ = 379246445424. Its totient is φ = 21233664000.

The previous prime is 90713779199. The next prime is 90713779259. The reversal of 90713779200 is 297731709.

90713779200 is a `hidden beast` number, since 9 + 0 + 71 + 377 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 935193552 + ... + 935193648.

Almost surely, 2^90713779200 is an apocalyptic number.

90713779200 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 90713779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189623222712).

90713779200 is an abundant number, since it is smaller than the sum of its proper divisors (288532666224).

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

90713779200 is a wasteful number, since it uses less digits than its factorization.

90713779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The spelling of 90713779200 in words is "ninety billion, seven hundred thirteen million, seven hundred seventy-nine thousand, two hundred".