79671608852400 has 360 divisors, whose sum is σ = 281131301259120. Its totient is φ = 20888831232000.

The previous prime is 79671608852383. The next prime is 79671608852527. The reversal of 79671608852400 is 425880617697.

79671608852400 is a `hidden beast` number, since 7 + 9 + 67 + 160 + 8 + 8 + 5 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 539922630 + ... + 540070170.

Almost surely, 2^{79671608852400} 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 79671608852400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140565650629560).

79671608852400 is an abundant number, since it is smaller than the sum of its proper divisors (201459692406720).

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

79671608852400 is a wasteful number, since it uses less digits than its factorization.

79671608852400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150085 (or 150071 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 79671608852400 in words is "seventy-nine trillion, six hundred seventy-one billion, six hundred eight million, eight hundred fifty-two thousand, four hundred".