90949754880 has 560 divisors, whose sum is σ = 331130574720. Its totient is φ = 23877255168.

The previous prime is 90949754867. The next prime is 90949754927. The reversal of 90949754880 is 8845794909.

90949754880 is a `hidden beast` number, since 9 + 0 + 9 + 4 + 9 + 7 + 548 + 80 = 666.

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 39 ways as a sum of consecutive naturals, for example, 262102867 + ... + 262103213.

Almost surely, 2^90949754880 is an apocalyptic number.

90949754880 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 90949754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165565287360).

90949754880 is an abundant number, since it is smaller than the sum of its proper divisors (240180819840).

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

90949754880 is an equidigital number, since it uses as much as digits as its factorization.

90949754880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 90949754880 in words is "ninety billion, nine hundred forty-nine million, seven hundred fifty-four thousand, eight hundred eighty".