25305568480192 has 896 divisors, whose sum is σ = 72707844464640. Its totient is φ = 8408566333440.

The previous prime is 25305568480043. The next prime is 25305568480207. The reversal of 25305568480192 is 29108486550352.

It is a super-2 number, since 2×25305568480192² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16949475798 + ... + 16949477290.

It is an arithmetic number, because the mean of its divisors is an integer number (81147147840).

Almost surely, 2^{25305568480192} is an apocalyptic number.

25305568480192 is a gapful number since it is divisible by the number (22) 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 25305568480192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36353922232320).

25305568480192 is an abundant number, since it is smaller than the sum of its proper divisors (47402275984448).

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

25305568480192 is a wasteful number, since it uses less digits than its factorization.

25305568480192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 58.

The spelling of 25305568480192 in words is "twenty-five trillion, three hundred five billion, five hundred sixty-eight million, four hundred eighty thousand, one hundred ninety-two".