80955979200 has 672 divisors, whose sum is σ = 309940797440. Its totient is φ = 20528640000.

The previous prime is 80955979193. The next prime is 80955979207. The reversal of 80955979200 is 297955908.

80955979200 is a `hidden beast` number, since 80 + 9 + 559 + 7 + 9 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80955979193) and next prime (80955979207).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80955979207) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 81690705 + ... + 81691695.

Almost surely, 2^80955979200 is an apocalyptic number.

80955979200 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 80955979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154970398720).

80955979200 is an abundant number, since it is smaller than the sum of its proper divisors (228984818240).

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

80955979200 is a wasteful number, since it uses less digits than its factorization.

80955979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 80955979200 in words is "eighty billion, nine hundred fifty-five million, nine hundred seventy-nine thousand, two hundred".