78906019725 has 288 divisors, whose sum is σ = 165473694720. Its totient is φ = 36796032000.

The previous prime is 78906019723. The next prime is 78906019739. The reversal of 78906019725 is 52791060987.

78906019725 is a `hidden beast` number, since 7 + 8 + 9 + 0 + 601 + 9 + 7 + 25 = 666.

It is not a de Polignac number, because 78906019725 - 2¹ = 78906019723 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78906019721) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 187425015 + ... + 187425435.

It is an arithmetic number, because the mean of its divisors is an integer number (574561440).

Almost surely, 2^78906019725 is an apocalyptic number.

78906019725 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

78906019725 is an abundant number, since it is smaller than the sum of its proper divisors (86567674995).

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

78906019725 is a wasteful number, since it uses less digits than its factorization.

78906019725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 78906019725 in words is "seventy-eight billion, nine hundred six million, nineteen thousand, seven hundred twenty-five".