78972209971200 has 2160 divisors, whose sum is σ = 361105635537920. Its totient is φ = 16660357447680.

The previous prime is 78972209971183. The next prime is 78972209971267. The reversal of 78972209971200 is 217990227987.

78972209971200 is a `hidden beast` number, since 78 + 9 + 72 + 209 + 97 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 9057480441 + ... + 9057489159.

Almost surely, 2^{78972209971200} is an apocalyptic number.

78972209971200 is a gapful number since it is divisible by the number (70) 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 78972209971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180552817768960).

78972209971200 is an abundant number, since it is smaller than the sum of its proper divisors (282133425566720).

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

78972209971200 is an equidigital number, since it uses as much as digits as its factorization.

78972209971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8792 (or 8749 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 63.

The spelling of 78972209971200 in words is "seventy-eight trillion, nine hundred seventy-two billion, two hundred nine million, nine hundred seventy-one thousand, two hundred".