725080278960 has 480 divisors, whose sum is σ = 2638034904960. Its totient is φ = 177926504448.

The previous prime is 725080278947. The next prime is 725080279009. The reversal of 725080278960 is 69872080527.

It is a happy number.

725080278960 is a `hidden beast` number, since 7 + 2 + 508 + 0 + 2 + 78 + 9 + 60 = 666.

It is a super-2 number, since 2×725080278960² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 725080278897 and 725080278906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140707744 + ... + 140712896.

It is an arithmetic number, because the mean of its divisors is an integer number (5495906052).

Almost surely, 2^725080278960 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 725080278960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319017452480).

725080278960 is an abundant number, since it is smaller than the sum of its proper divisors (1912954626000).

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

725080278960 is a wasteful number, since it uses less digits than its factorization.

725080278960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5517 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 725080278960 in words is "seven hundred twenty-five billion, eighty million, two hundred seventy-eight thousand, nine hundred sixty".