90737971520 has 224 divisors, whose sum is σ = 249668946432. Its totient is φ = 30767874048.

The previous prime is 90737971507. The next prime is 90737971523. The reversal of 90737971520 is 2517973709.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×90737971520² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90737971523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140243837 + ... + 140244483.

Almost surely, 2^90737971520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90737971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124834473216).

90737971520 is an abundant number, since it is smaller than the sum of its proper divisors (158930974912).

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

90737971520 is a wasteful number, since it uses less digits than its factorization.

90737971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 833490, while the sum is 50.

The spelling of 90737971520 in words is "ninety billion, seven hundred thirty-seven million, nine hundred seventy-one thousand, five hundred twenty".