89977962764800 has 960 divisors, whose sum is σ = 263442539669760. Its totient is φ = 30111105024000.

The previous prime is 89977962764783. The next prime is 89977962764849. The reversal of 89977962764800 is 846726977998.

89977962764800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29394955270 + ... + 29394958330.

It is an arithmetic number, because the mean of its divisors is an integer number (274419312156).

Almost surely, 2^{89977962764800} is an apocalyptic number.

89977962764800 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 89977962764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131721269834880).

89977962764800 is an abundant number, since it is smaller than the sum of its proper divisors (173464576904960).

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

89977962764800 is a wasteful number, since it uses less digits than its factorization.

89977962764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 4608866304, while the sum is 82.

The spelling of 89977962764800 in words is "eighty-nine trillion, nine hundred seventy-seven billion, nine hundred sixty-two million, seven hundred sixty-four thousand, eight hundred".