90754130880 has 252 divisors, whose sum is σ = 363121270200. Its totient is φ = 20743769088.

The previous prime is 90754130861. The next prime is 90754130897. The reversal of 90754130880 is 8803145709.

90754130880 is a `hidden beast` number, since 90 + 75 + 413 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 35 ways as a sum of consecutive naturals, for example, 180430 + ... + 462669.

Almost surely, 2^90754130880 is an apocalyptic number.

90754130880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90754130880 is an abundant number, since it is smaller than the sum of its proper divisors (272367139320).

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

90754130880 is a wasteful number, since it uses less digits than its factorization.

90754130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643136 (or 643116 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 90754130880 in words is "ninety billion, seven hundred fifty-four million, one hundred thirty thousand, eight hundred eighty".