78920155591200 has 2304 divisors, whose sum is σ = 382107623546880. Its totient is φ = 15216574464000.

The previous prime is 78920155591169. The next prime is 78920155591213. The reversal of 78920155591200 is 219555102987.

78920155591200 is a `hidden beast` number, since 7 + 8 + 9 + 20 + 1 + 5 + 5 + 591 + 20 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2007462744 + ... + 2007502056.

It is an arithmetic number, because the mean of its divisors is an integer number (165845322720).

Almost surely, 2^{78920155591200} is an apocalyptic number.

78920155591200 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 78920155591200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191053811773440).

78920155591200 is an abundant number, since it is smaller than the sum of its proper divisors (303187467955680).

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

78920155591200 is a wasteful number, since it uses less digits than its factorization.

78920155591200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39448 (or 39429 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 54.

The spelling of 78920155591200 in words is "seventy-eight trillion, nine hundred twenty billion, one hundred fifty-five million, five hundred ninety-one thousand, two hundred".