90610625064960 has 6656 divisors, whose sum is σ = 457567534448640. Its totient is φ = 16614492733440.

The previous prime is 90610625064929. The next prime is 90610625064977. The reversal of 90610625064960 is 6946052601609.

90610625064960 is a `hidden beast` number, since 9 + 0 + 6 + 1 + 0 + 625 + 0 + 6 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6656).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 90610625064897 and 90610625064906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1927885639657 + ... + 1927885639703.

Almost surely, 2^{90610625064960} is an apocalyptic number.

90610625064960 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 90610625064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228783767224320).

90610625064960 is an abundant number, since it is smaller than the sum of its proper divisors (366956909383680).

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

90610625064960 is a wasteful number, since it uses less digits than its factorization.

90610625064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 90610625064960 in words is "ninety trillion, six hundred ten billion, six hundred twenty-five million, sixty-four thousand, nine hundred sixty".