725807284992 has 288 divisors, whose sum is σ = 2279463076800. Its totient is φ = 227016179712.

The previous prime is 725807284981. The next prime is 725807285003. The reversal of 725807284992 is 299482708527.

725807284992 is a `hidden beast` number, since 7 + 2 + 580 + 7 + 2 + 8 + 49 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (725807284981) and next prime (725807285003).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39589684 + ... + 39608012.

It is an arithmetic number, because the mean of its divisors is an integer number (7914802350).

Almost surely, 2^725807284992 is an apocalyptic number.

725807284992 is a gapful number since it is divisible by the number (72) 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 725807284992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139731538400).

725807284992 is an abundant number, since it is smaller than the sum of its proper divisors (1553655791808).

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

725807284992 is a wasteful number, since it uses less digits than its factorization.

725807284992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18708 (or 18688 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 725807284992 in words is "seven hundred twenty-five billion, eight hundred seven million, two hundred eighty-four thousand, nine hundred ninety-two".