90408507595776 has 352 divisors, whose sum is σ = 269084864160000. Its totient is φ = 29985793818624.

The previous prime is 90408507595753. The next prime is 90408507595787. The reversal of 90408507595776 is 67759570580409.

90408507595776 is a `hidden beast` number, since 9 + 0 + 40 + 8 + 5 + 0 + 7 + 5 + 9 + 577 + 6 = 666.

It is a super-3 number, since 3×90408507595776³ (a number of 43 digits) contains 333 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, 6150649675 + ... + 6150664373.

Almost surely, 2^{90408507595776} is an apocalyptic number.

90408507595776 is a gapful number since it is divisible by the number (96) 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 90408507595776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134542432080000).

90408507595776 is an abundant number, since it is smaller than the sum of its proper divisors (178676356564224).

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

90408507595776 is a wasteful number, since it uses less digits than its factorization.

90408507595776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15824 (or 15800 counting only the distinct ones).

The product of its (nonzero) digits is 666792000, while the sum is 72.

The spelling of 90408507595776 in words is "ninety trillion, four hundred eight billion, five hundred seven million, five hundred ninety-five thousand, seven hundred seventy-six".