90313850880 has 704 divisors, whose sum is σ = 362387779200. Its totient is φ = 21139292160.

The previous prime is 90313850839. The next prime is 90313850897. The reversal of 90313850880 is 8805831309.

90313850880 is a `hidden beast` number, since 9 + 0 + 3 + 138 + 508 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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 (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3114270706 + ... + 3114270734.

Almost surely, 2^90313850880 is an apocalyptic number.

90313850880 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 90313850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181193889600).

90313850880 is an abundant number, since it is smaller than the sum of its proper divisors (272073928320).

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

90313850880 is an frugal number, since it uses more digits than its factorization.

90313850880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 90313850880 in words is "ninety billion, three hundred thirteen million, eight hundred fifty thousand, eight hundred eighty".