79386858455040 has 1536 divisors, whose sum is σ = 301796539200000. Its totient is φ = 19227507425280.

The previous prime is 79386858455033. The next prime is 79386858455101. The reversal of 79386858455040 is 4055485868397.

79386858455040 is a `hidden beast` number, since 7 + 9 + 3 + 8 + 68 + 5 + 8 + 4 + 550 + 4 + 0 = 666.

79386858455040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

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 79386858455040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161684029195 + ... + 161684029685.

It is an arithmetic number, because the mean of its divisors is an integer number (196482121875).

Almost surely, 2^{79386858455040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79386858455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150898269600000).

79386858455040 is an abundant number, since it is smaller than the sum of its proper divisors (222409680744960).

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

79386858455040 is a wasteful number, since it uses less digits than its factorization.

79386858455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 72.

The spelling of 79386858455040 in words is "seventy-nine trillion, three hundred eighty-six billion, eight hundred fifty-eight million, four hundred fifty-five thousand, forty".