79168140288000 has 3584 divisors, whose sum is σ = 325925341747200. Its totient is φ = 19129407897600.

The previous prime is 79168140287993. The next prime is 79168140288031. The reversal of 79168140288000 is 88204186197.

79168140288000 is a `hidden beast` number, since 79 + 16 + 81 + 402 + 8 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1493738495974 + ... + 1493738496026.

Almost surely, 2^{79168140288000} 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 79168140288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162962670873600).

79168140288000 is an abundant number, since it is smaller than the sum of its proper divisors (246757201459200).

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

79168140288000 is an frugal number, since it uses more digits than its factorization.

79168140288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 79168140288000 in words is "seventy-nine trillion, one hundred sixty-eight billion, one hundred forty million, two hundred eighty-eight thousand".