79523942400000 has 2304 divisors, whose sum is σ = 343176638414400. Its totient is φ = 18145935360000.

The previous prime is 79523942399969. The next prime is 79523942400059. The reversal of 79523942400000 is 424932597.

79523942400000 is a `hidden beast` number, since 7 + 9 + 5 + 239 + 4 + 2 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 143 ways as a sum of consecutive naturals, for example, 135475199707 + ... + 135475200293.

Almost surely, 2^{79523942400000} is an apocalyptic number.

79523942400000 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 79523942400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171588319207200).

79523942400000 is an abundant number, since it is smaller than the sum of its proper divisors (263652696014400).

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

79523942400000 is an frugal number, since it uses more digits than its factorization.

79523942400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 79523942400000 in words is "seventy-nine trillion, five hundred twenty-three billion, nine hundred forty-two million, four hundred thousand".