79428333053160 has 6144 divisors, whose sum is σ = 383584481280000. Its totient is φ = 14600888451072.

The previous prime is 79428333053159. The next prime is 79428333053239. The reversal of 79428333053160 is 6135033382497.

79428333053160 is a `hidden beast` number, since 7 + 9 + 42 + 8 + 3 + 3 + 3 + 0 + 531 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 79428333053097 and 79428333053106.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 728700303186 + ... + 728700303294.

It is an arithmetic number, because the mean of its divisors is an integer number (62432370000).

It is a 1-persistent number, because it is pandigital, but 2⋅79428333053160 = 158856666106320 is not.

Almost surely, 2^{79428333053160} is an apocalyptic number.

79428333053160 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 79428333053160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191792240640000).

79428333053160 is an abundant number, since it is smaller than the sum of its proper divisors (304156148226840).

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

79428333053160 is a wasteful number, since it uses less digits than its factorization.

79428333053160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 79428333053160 in words is "seventy-nine trillion, four hundred twenty-eight billion, three hundred thirty-three million, fifty-three thousand, one hundred sixty".