725181478560 has 2592 divisors, whose sum is σ = 3458210910336. Its totient is φ = 140415897600.

The previous prime is 725181478547. The next prime is 725181478583. The reversal of 725181478560 is 65874181527.

725181478560 is a `hidden beast` number, since 7 + 2 + 5 + 1 + 8 + 1 + 4 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 725181478497 and 725181478506.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 11888220930 + ... + 11888220990.

It is an arithmetic number, because the mean of its divisors is an integer number (1334186308).

Almost surely, 2^725181478560 is an apocalyptic number.

725181478560 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 725181478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729105455168).

725181478560 is an abundant number, since it is smaller than the sum of its proper divisors (2733029431776).

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

725181478560 is a wasteful number, since it uses less digits than its factorization.

725181478560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 725181478560 in words is "seven hundred twenty-five billion, one hundred eighty-one million, four hundred seventy-eight thousand, five hundred sixty".