80957107249200 has 1920 divisors, whose sum is σ = 370620545433600. Its totient is φ = 16328450396160.

The previous prime is 80957107249177. The next prime is 80957107249229. The reversal of 80957107249200 is 294270175908.

80957107249200 is a `hidden beast` number, since 8 + 0 + 9 + 571 + 0 + 7 + 2 + 49 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1986218421 + ... + 1986259179.

It is an arithmetic number, because the mean of its divisors is an integer number (193031534080).

Almost surely, 2^{80957107249200} is an apocalyptic number.

80957107249200 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 80957107249200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185310272716800).

80957107249200 is an abundant number, since it is smaller than the sum of its proper divisors (289663438184400).

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

80957107249200 is a wasteful number, since it uses less digits than its factorization.

80957107249200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40896 (or 40879 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 80957107249200 in words is "eighty trillion, nine hundred fifty-seven billion, one hundred seven million, two hundred forty-nine thousand, two hundred".