78951900493872 has 1120 divisors, whose sum is σ = 294381489093120. Its totient is φ = 19958944112640.

The previous prime is 78951900493849. The next prime is 78951900493877. The reversal of 78951900493872 is 27839400915987.

78951900493872 is a `hidden beast` number, since 7 + 8 + 9 + 51 + 9 + 0 + 0 + 493 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 78951900493872.

It is not an unprimeable number, because it can be changed into a prime (78951900493877) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3454760398 + ... + 3454783250.

Almost surely, 2^{78951900493872} is an apocalyptic number.

78951900493872 is a gapful number since it is divisible by the number (72) 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 78951900493872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147190744546560).

78951900493872 is an abundant number, since it is smaller than the sum of its proper divisors (215429588599248).

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

78951900493872 is a wasteful number, since it uses less digits than its factorization.

78951900493872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23053 (or 23032 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 78951900493872 in words is "seventy-eight trillion, nine hundred fifty-one billion, nine hundred million, four hundred ninety-three thousand, eight hundred seventy-two".