90825115558464 has 672 divisors, whose sum is σ = 312601289285376. Its totient is φ = 25610983833600.

The previous prime is 90825115558421. The next prime is 90825115558547. The reversal of 90825115558464 is 46485551152809.

It is a happy number.

90825115558464 is a `hidden beast` number, since 9 + 0 + 8 + 2 + 5 + 1 + 15 + 558 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 2580168064 + ... + 2580203264.

It is an arithmetic number, because the mean of its divisors is an integer number (465180490008).

Almost surely, 2^{90825115558464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90825115558464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156300644642688).

90825115558464 is an abundant number, since it is smaller than the sum of its proper divisors (221776173726912).

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

90825115558464 is a wasteful number, since it uses less digits than its factorization.

90825115558464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35545 (or 35523 counting only the distinct ones).

The product of its (nonzero) digits is 69120000, while the sum is 63.

The spelling of 90825115558464 in words is "ninety trillion, eight hundred twenty-five billion, one hundred fifteen million, five hundred fifty-eight thousand, four hundred sixty-four".