725898012840 has 1152 divisors, whose sum is σ = 3335631062400. Its totient is φ = 134418493440.

The previous prime is 725898012757. The next prime is 725898012857. The reversal of 725898012840 is 48210898527.

725898012840 is a `hidden beast` number, since 7 + 2 + 589 + 8 + 0 + 12 + 8 + 40 = 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, 73148119 + ... + 73158041.

It is an arithmetic number, because the mean of its divisors is an integer number (2895513075).

Almost surely, 2^725898012840 is an apocalyptic number.

725898012840 is a gapful number since it is divisible by the number (70) 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 725898012840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667815531200).

725898012840 is an abundant number, since it is smaller than the sum of its proper divisors (2609733049560).

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

725898012840 is a wasteful number, since it uses less digits than its factorization.

725898012840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10007 (or 9993 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 725898012840 in words is "seven hundred twenty-five billion, eight hundred ninety-eight million, twelve thousand, eight hundred forty".