90533136960 has 504 divisors, whose sum is σ = 363448762560. Its totient is φ = 20624099328.

The previous prime is 90533136959. The next prime is 90533136971. The reversal of 90533136960 is 6963133509.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50661187 + ... + 50662973.

Almost surely, 2^90533136960 is an apocalyptic number.

90533136960 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 90533136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181724381280).

90533136960 is an abundant number, since it is smaller than the sum of its proper divisors (272915625600).

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

90533136960 is a wasteful number, since it uses less digits than its factorization.

90533136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The spelling of 90533136960 in words is "ninety billion, five hundred thirty-three million, one hundred thirty-six thousand, nine hundred sixty".