90209778658560 has 288 divisors, whose sum is σ = 349221190066560. Its totient is φ = 21869037158400.

The previous prime is 90209778658553. The next prime is 90209778658621. The reversal of 90209778658560 is 6585687790209.

90209778658560 is a `hidden beast` number, since 9 + 0 + 2 + 0 + 9 + 7 + 7 + 8 + 6 + 58 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×90209778658560² (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 31 ways as a sum of consecutive naturals, for example, 118266961 + ... + 119027280.

It is an arithmetic number, because the mean of its divisors is an integer number (1212573576620).

Almost surely, 2^{90209778658560} is an apocalyptic number.

90209778658560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90209778658560 is an abundant number, since it is smaller than the sum of its proper divisors (259011411408000).

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

90209778658560 is a wasteful number, since it uses less digits than its factorization.

90209778658560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237294282 (or 237294262 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 90209778658560 in words is "ninety trillion, two hundred nine billion, seven hundred seventy-eight million, six hundred fifty-eight thousand, five hundred sixty".