90612587520 has 1320 divisors, whose sum is σ = 407958322464. Its totient is φ = 19118260224.

The previous prime is 90612587501. The next prime is 90612587557. The reversal of 90612587520 is 2578521609.

90612587520 is a `hidden beast` number, since 9 + 0 + 6 + 12 + 587 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6970199034 + ... + 6970199046.

Almost surely, 2^90612587520 is an apocalyptic number.

90612587520 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 90612587520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203979161232).

90612587520 is an abundant number, since it is smaller than the sum of its proper divisors (317345734944).

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

90612587520 is an frugal number, since it uses more digits than its factorization.

90612587520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 90612587520 in words is "ninety billion, six hundred twelve million, five hundred eighty-seven thousand, five hundred twenty".