90363484960560 has 800 divisors, whose sum is σ = 371302141427712. Its totient is φ = 19931502919680.

The previous prime is 90363484960537. The next prime is 90363484960631. The reversal of 90363484960560 is 6506948436309.

It is a happy number.

90363484960560 is a `hidden beast` number, since 9 + 0 + 3 + 6 + 3 + 4 + 8 + 4 + 9 + 60 + 560 = 666.

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 159 ways as a sum of consecutive naturals, for example, 496283457 + ... + 496465503.

Almost surely, 2^{90363484960560} is an apocalyptic number.

90363484960560 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 90363484960560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185651070713856).

90363484960560 is an abundant number, since it is smaller than the sum of its proper divisors (280938656467152).

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

90363484960560 is a wasteful number, since it uses less digits than its factorization.

90363484960560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182463 (or 182448 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 90363484960560 in words is "ninety trillion, three hundred sixty-three billion, four hundred eighty-four million, nine hundred sixty thousand, five hundred sixty".