78148258560 has 432 divisors, whose sum is σ = 285571409760. Its totient is φ = 19676528640.

The previous prime is 78148258549. The next prime is 78148258621. The reversal of 78148258560 is 6585284187.

78148258560 is a `hidden beast` number, since 7 + 81 + 482 + 5 + 85 + 6 + 0 = 666.

It is a super-2 number, since 2×78148258560² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78148258497 and 78148258506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121915840 + ... + 121916480.

It is an arithmetic number, because the mean of its divisors is an integer number (661044930).

Almost surely, 2^78148258560 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 78148258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142785704880).

78148258560 is an abundant number, since it is smaller than the sum of its proper divisors (207423151200).

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

78148258560 is a wasteful number, since it uses less digits than its factorization.

78148258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 78148258560 in words is "seventy-eight billion, one hundred forty-eight million, two hundred fifty-eight thousand, five hundred sixty".