79315073510400 has 5940 divisors, whose sum is σ = 384443116833600. Its totient is φ = 16086093004800.

The previous prime is 79315073510371. The next prime is 79315073510423. The reversal of 79315073510400 is 401537051397.

79315073510400 is a `hidden beast` number, since 7 + 9 + 3 + 1 + 507 + 35 + 104 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 532315929526 + ... + 532315929674.

It is an arithmetic number, because the mean of its divisors is an integer number (64721063440).

Almost surely, 2^{79315073510400} is an apocalyptic number.

79315073510400 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 79315073510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192221558416800).

79315073510400 is an abundant number, since it is smaller than the sum of its proper divisors (305128043323200).

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

79315073510400 is a wasteful number, since it uses less digits than its factorization.

79315073510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 79315073510400 in words is "seventy-nine trillion, three hundred fifteen billion, seventy-three million, five hundred ten thousand, four hundred".