725342169888 has 576 divisors, whose sum is σ = 2539265863680. Its totient is φ = 191702163456.

The previous prime is 725342169833. The next prime is 725342169911. The reversal of 725342169888 is 888961243527.

725342169888 is a `hidden beast` number, since 7 + 2 + 534 + 2 + 1 + 6 + 98 + 8 + 8 = 666.

It is a super-2 number, since 2×725342169888² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 509726745 + ... + 509728167.

It is an arithmetic number, because the mean of its divisors is an integer number (4408447680).

Almost surely, 2^725342169888 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 725342169888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269632931840).

725342169888 is an abundant number, since it is smaller than the sum of its proper divisors (1813923693792).

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

725342169888 is a wasteful number, since it uses less digits than its factorization.

725342169888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1698 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

It can be divided in two parts, 72534 and 2169888, that added together give a palindrome (2242422).

The spelling of 725342169888 in words is "seven hundred twenty-five billion, three hundred forty-two million, one hundred sixty-nine thousand, eight hundred eighty-eight".