79101812966400 has 891 divisors, whose sum is σ = 329586738293709. Its totient is φ = 18073583861760.

The previous prime is 79101812966387. The next prime is 79101812966467. The reversal of 79101812966400 is 466921810197.

The square root of 79101812966400 is 8893920.

It is a perfect power (a square), and thus also a powerful number.

79101812966400 is a `hidden beast` number, since 7 + 9 + 101 + 8 + 129 + 6 + 6 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28476652667904 + 50625160298496 = 5336352^2 + 7115136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29883569877 + ... + 29883572523.

Almost surely, 2^{79101812966400} is an apocalyptic number.

79101812966400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

79101812966400 is the 8893920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79101812966400

79101812966400 is an abundant number, since it is smaller than the sum of its proper divisors (250484925327309).

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

79101812966400 is an equidigital number, since it uses as much as digits as its factorization.

79101812966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 79101812966400 in words is "seventy-nine trillion, one hundred one billion, eight hundred twelve million, nine hundred sixty-six thousand, four hundred".