78427818898560 has 1152 divisors, whose sum is σ = 300293153072640. Its totient is φ = 19492357570560.

The previous prime is 78427818898549. The next prime is 78427818898571. The reversal of 78427818898560 is 6589881872487.

78427818898560 is a `hidden beast` number, since 7 + 8 + 42 + 7 + 8 + 1 + 8 + 8 + 9 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (78427818898549) and next prime (78427818898571).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 78427818898560.

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, 30269322865 + ... + 30269325455.

It is an arithmetic number, because the mean of its divisors is an integer number (260671139820).

Almost surely, 2^{78427818898560} 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 78427818898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150146576536320).

78427818898560 is an abundant number, since it is smaller than the sum of its proper divisors (221865334174080).

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

78427818898560 is a wasteful number, since it uses less digits than its factorization.

78427818898560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 3468165120, while the sum is 81.

The spelling of 78427818898560 in words is "seventy-eight trillion, four hundred twenty-seven billion, eight hundred eighteen million, eight hundred ninety-eight thousand, five hundred sixty".