89907554880 has 896 divisors, whose sum is σ = 379931005440. Its totient is φ = 19725189120.

The previous prime is 89907554879. The next prime is 89907554939. The reversal of 89907554880 is 8845570998.

It is a happy number.

89907554880 is a `hidden beast` number, since 8 + 9 + 9 + 0 + 7 + 5 + 548 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65481874 + ... + 65483246.

It is an arithmetic number, because the mean of its divisors is an integer number (424030140).

Almost surely, 2^89907554880 is an apocalyptic number.

89907554880 is a gapful number since it is divisible by the number (80) 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 89907554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189965502720).

89907554880 is an abundant number, since it is smaller than the sum of its proper divisors (290023450560).

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

89907554880 is a wasteful number, since it uses less digits than its factorization.

89907554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 89907554880 in words is "eighty-nine billion, nine hundred seven million, five hundred fifty-four thousand, eight hundred eighty".