7725939012900 has 864 divisors, whose sum is σ = 27644599382400. Its totient is φ = 1795588300800.

The previous prime is 7725939012889. The next prime is 7725939012949. The reversal of 7725939012900 is 92109395277.

7725939012900 is a `hidden beast` number, since 77 + 259 + 39 + 0 + 1 + 290 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 874267282 + ... + 874276118.

It is an arithmetic number, because the mean of its divisors is an integer number (31996064100).

Almost surely, 2^{7725939012900} 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 7725939012900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13822299691200).

7725939012900 is an abundant number, since it is smaller than the sum of its proper divisors (19918660369500).

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

7725939012900 is a wasteful number, since it uses less digits than its factorization.

7725939012900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8989 (or 8979 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 7725939012900 in words is "seven trillion, seven hundred twenty-five billion, nine hundred thirty-nine million, twelve thousand, nine hundred".