78259174656 has 288 divisors, whose sum is σ = 228589186560. Its totient is φ = 23624220672.

The previous prime is 78259174639. The next prime is 78259174657. The reversal of 78259174656 is 65647195287.

It is a happy number.

It is a super-2 number, since 2×78259174656² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78259174656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78259174657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246874210 + ... + 246874526.

Almost surely, 2^78259174656 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 78259174656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114294593280).

78259174656 is an abundant number, since it is smaller than the sum of its proper divisors (150330011904).

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

78259174656 is a wasteful number, since it uses less digits than its factorization.

78259174656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 727 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 60.

The spelling of 78259174656 in words is "seventy-eight billion, two hundred fifty-nine million, one hundred seventy-four thousand, six hundred fifty-six".