90538490880 has 704 divisors, whose sum is σ = 341710786560. Its totient is φ = 22693478400.

The previous prime is 90538490837. The next prime is 90538490899. The reversal of 90538490880 is 8809483509.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 158560995 + ... + 158561565.

It is an arithmetic number, because the mean of its divisors is an integer number (485384640).

Almost surely, 2^90538490880 is an apocalyptic number.

90538490880 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 90538490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170855393280).

90538490880 is an abundant number, since it is smaller than the sum of its proper divisors (251172295680).

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

90538490880 is a wasteful number, since it uses less digits than its factorization.

90538490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 90538490880 in words is "ninety billion, five hundred thirty-eight million, four hundred ninety thousand, eight hundred eighty".