78251723136 has 672 divisors, whose sum is σ = 259954135920. Its totient is φ = 23402649600.

The previous prime is 78251723087. The next prime is 78251723167. The reversal of 78251723136 is 63132715287.

78251723136 is a `hidden beast` number, since 7 + 82 + 517 + 23 + 1 + 36 = 666.

It is a super-2 number, since 2×78251723136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78251723091 and 78251723100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 774769486 + ... + 774769586.

Almost surely, 2^78251723136 is an apocalyptic number.

78251723136 is a gapful number since it is divisible by the number (76) 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 78251723136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129977067960).

78251723136 is an abundant number, since it is smaller than the sum of its proper divisors (181702412784).

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

78251723136 is a wasteful number, since it uses less digits than its factorization.

78251723136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 148 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 78251723136 in words is "seventy-eight billion, two hundred fifty-one million, seven hundred twenty-three thousand, one hundred thirty-six".