79218288230400 has 2160 divisors, whose sum is σ = 328122740550528. Its totient is φ = 18728091648000.

The previous prime is 79218288230293. The next prime is 79218288230413. The reversal of 79218288230400 is 403288281297.

79218288230400 is a `hidden beast` number, since 7 + 92 + 1 + 8 + 288 + 230 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 119 ways as a sum of consecutive naturals, for example, 125544038085 + ... + 125544038715.

Almost surely, 2^{79218288230400} 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 79218288230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164061370275264).

79218288230400 is an abundant number, since it is smaller than the sum of its proper divisors (248904452320128).

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

79218288230400 is an equidigital number, since it uses as much as digits as its factorization.

79218288230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 79218288230400 in words is "seventy-nine trillion, two hundred eighteen billion, two hundred eighty-eight million, two hundred thirty thousand, four hundred".