78215054448960 has 3360 divisors, whose sum is σ = 341746031442816. Its totient is φ = 16733056204800.

The previous prime is 78215054448959. The next prime is 78215054449031. The reversal of 78215054448960 is 6984445051287.

It is a happy number.

78215054448960 is a `hidden beast` number, since 7 + 8 + 2 + 1 + 5 + 0 + 544 + 4 + 89 + 6 + 0 = 666.

It is a super-2 number, since 2×78215054448960² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 730981817227 + ... + 730981817333.

Almost surely, 2^{78215054448960} 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 78215054448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170873015721408).

78215054448960 is an abundant number, since it is smaller than the sum of its proper divisors (263530976993856).

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

78215054448960 is a wasteful number, since it uses less digits than its factorization.

78215054448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 78215054448960 in words is "seventy-eight trillion, two hundred fifteen billion, fifty-four million, four hundred forty-eight thousand, nine hundred sixty".