90616477593600 has 2184 divisors, whose sum is σ = 405335270493440. Its totient is φ = 19620064788480.

The previous prime is 90616477593571. The next prime is 90616477593613. The reversal of 90616477593600 is 639577461609.

90616477593600 is a `hidden beast` number, since 9 + 0 + 6 + 16 + 4 + 7 + 7 + 5 + 9 + 3 + 600 = 666.

90616477593600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×90616477593600² (a number of 29 digits) contains 22 as substring.

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 167 ways as a sum of consecutive naturals, for example, 9928392237 + ... + 9928401363.

Almost surely, 2^{90616477593600} is an apocalyptic number.

90616477593600 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 90616477593600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202667635246720).

90616477593600 is an abundant number, since it is smaller than the sum of its proper divisors (314718792899840).

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

90616477593600 is an equidigital number, since it uses as much as digits as its factorization.

90616477593600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9205 (or 9163 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 90616477593600 in words is "ninety trillion, six hundred sixteen billion, four hundred seventy-seven million, five hundred ninety-three thousand, six hundred".