90521578667520 has 5760 divisors, whose sum is σ = 468122723228160. Its totient is φ = 16433900421120.

The previous prime is 90521578667519. The next prime is 90521578667537. The reversal of 90521578667520 is 2576687512509.

90521578667520 is a `hidden beast` number, since 9 + 0 + 5 + 2 + 1 + 578 + 6 + 6 + 7 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 82819376094 + ... + 82819377186.

It is an arithmetic number, because the mean of its divisors is an integer number (81271306116).

Almost surely, 2^{90521578667520} is an apocalyptic number.

90521578667520 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 90521578667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234061361614080).

90521578667520 is an abundant number, since it is smaller than the sum of its proper divisors (377601144560640).

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

90521578667520 is a wasteful number, since it uses less digits than its factorization.

90521578667520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 90521578667520 in words is "ninety trillion, five hundred twenty-one billion, five hundred seventy-eight million, six hundred sixty-seven thousand, five hundred twenty".