725011265160 has 2560 divisors, whose sum is σ = 3498627686400. Its totient is φ = 130069463040.

The previous prime is 725011265131. The next prime is 725011265161. The reversal of 725011265160 is 61562110527.

725011265160 is a `hidden beast` number, since 7 + 25 + 0 + 112 + 6 + 516 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (725011265161) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2190366195 + ... + 2190366525.

It is an arithmetic number, because the mean of its divisors is an integer number (1366651440).

Almost surely, 2^725011265160 is an apocalyptic number.

725011265160 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 725011265160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749313843200).

725011265160 is an abundant number, since it is smaller than the sum of its proper divisors (2773616421240).

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

725011265160 is a wasteful number, since it uses less digits than its factorization.

725011265160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Adding to 725011265160 its reverse (61562110527), we get a palindrome (786573375687).

The spelling of 725011265160 in words is "seven hundred twenty-five billion, eleven million, two hundred sixty-five thousand, one hundred sixty".