89900016011520 has 1152 divisors, whose sum is σ = 355539285964800. Its totient is φ = 19033325568000.

The previous prime is 89900016011513. The next prime is 89900016011549. The reversal of 89900016011520 is 2511061000998.

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, 8440518195 + ... + 8440528845.

It is an arithmetic number, because the mean of its divisors is an integer number (308627852400).

Almost surely, 2^{89900016011520} is an apocalyptic number.

89900016011520 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 89900016011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177769642982400).

89900016011520 is an abundant number, since it is smaller than the sum of its proper divisors (265639269953280).

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

89900016011520 is a wasteful number, since it uses less digits than its factorization.

89900016011520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11527 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 42.

The spelling of 89900016011520 in words is "eighty-nine trillion, nine hundred billion, sixteen million, eleven thousand, five hundred twenty".