78858686592000 has 2112 divisors, whose sum is σ = 344671081058304. Its totient is φ = 17603570073600.

The previous prime is 78858686591963. The next prime is 78858686592019. The reversal of 78858686592000 is 29568685887.

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 78858686592000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9362299789 + ... + 9362308211.

It is an arithmetic number, because the mean of its divisors is an integer number (163196534592).

Almost surely, 2^{78858686592000} is an apocalyptic number.

78858686592000 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 78858686592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172335540529152).

78858686592000 is an abundant number, since it is smaller than the sum of its proper divisors (265812394466304).

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

78858686592000 is an equidigital number, since it uses as much as digits as its factorization.

78858686592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8523 (or 8483 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 78858686592000 in words is "seventy-eight trillion, eight hundred fifty-eight billion, six hundred eighty-six million, five hundred ninety-two thousand".