78551472384 has 1296 divisors, whose sum is σ = 315986571264. Its totient is φ = 18886348800.

The previous prime is 78551472371. The next prime is 78551472487. The reversal of 78551472384 is 48327415587.

78551472384 is a `hidden beast` number, since 7 + 8 + 551 + 4 + 7 + 2 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 78551472384.

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, 2533918449 + ... + 2533918479.

Almost surely, 2^78551472384 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 78551472384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157993285632).

78551472384 is an abundant number, since it is smaller than the sum of its proper divisors (237435098880).

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

78551472384 is a wasteful number, since it uses less digits than its factorization.

78551472384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 77 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 78551472384 in words is "seventy-eight billion, five hundred fifty-one million, four hundred seventy-two thousand, three hundred eighty-four".