89977651200 has 648 divisors, whose sum is σ = 337214463768. Its totient is φ = 23781703680.

The previous prime is 89977651171. The next prime is 89977651213. The reversal of 89977651200 is 215677998.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×89977651200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 796262344 + ... + 796262456.

It is an arithmetic number, because the mean of its divisors is an integer number (520392691).

Almost surely, 2^89977651200 is an apocalyptic number.

89977651200 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 89977651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168607231884).

89977651200 is an abundant number, since it is smaller than the sum of its proper divisors (247236812568).

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

89977651200 is an frugal number, since it uses more digits than its factorization.

89977651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 89977651200 in words is "eighty-nine billion, nine hundred seventy-seven million, six hundred fifty-one thousand, two hundred".