79158086542080 has 3888 divisors, whose sum is σ = 365256508649760. Its totient is φ = 16267354177536.

The previous prime is 79158086542061. The next prime is 79158086542121. The reversal of 79158086542080 is 8024568085197.

79158086542080 is a `hidden beast` number, since 7 + 9 + 1 + 5 + 8 + 0 + 8 + 6 + 542 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a super-2 number, since 2×79158086542080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 79158086541999 and 79158086542017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 889416702676 + ... + 889416702764.

It is an arithmetic number, because the mean of its divisors is an integer number (93944575270).

Almost surely, 2^{79158086542080} is an apocalyptic number.

79158086542080 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 79158086542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182628254324880).

79158086542080 is an abundant number, since it is smaller than the sum of its proper divisors (286098422107680).

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

79158086542080 is an equidigital number, since it uses as much as digits as its factorization.

79158086542080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 79158086542080 in words is "seventy-nine trillion, one hundred fifty-eight billion, eighty-six million, five hundred forty-two thousand, eighty".