78549480898560 has 1600 divisors, whose sum is σ = 329597489232000. Its totient is φ = 17522359271424.

The previous prime is 78549480898547. The next prime is 78549480898583. The reversal of 78549480898560 is 6589808494587.

78549480898560 is a `hidden beast` number, since 7 + 8 + 5 + 4 + 9 + 48 + 0 + 8 + 9 + 8 + 560 = 666.

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 78549480898560.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63913328026 + ... + 63913329254.

It is an arithmetic number, because the mean of its divisors is an integer number (205998430770).

Almost surely, 2^{78549480898560} is an apocalyptic number.

78549480898560 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 78549480898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164798744616000).

78549480898560 is an abundant number, since it is smaller than the sum of its proper divisors (251048008333440).

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

78549480898560 is an frugal number, since it uses more digits than its factorization.

78549480898560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 5573836800, while the sum is 81.

The spelling of 78549480898560 in words is "seventy-eight trillion, five hundred forty-nine billion, four hundred eighty million, eight hundred ninety-eight thousand, five hundred sixty".