25544412241920 has 1344 divisors, whose sum is σ = 104366770679808. Its totient is φ = 5697699840000.

The previous prime is 25544412241763. The next prime is 25544412241939. The reversal of 25544412241920 is 2914221444552.

25544412241920 is a `hidden beast` number, since 2 + 5 + 5 + 44 + 412 + 2 + 4 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 22193233345 + ... + 22193234495.

It is an arithmetic number, because the mean of its divisors is an integer number (77653847232).

Almost surely, 2^{25544412241920} is an apocalyptic number.

25544412241920 is a gapful number since it is divisible by the number (20) 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 25544412241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52183385339904).

25544412241920 is an abundant number, since it is smaller than the sum of its proper divisors (78822358437888).

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

25544412241920 is a wasteful number, since it uses less digits than its factorization.

25544412241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 25544412241920 in words is "twenty-five trillion, five hundred forty-four billion, four hundred twelve million, two hundred forty-one thousand, nine hundred twenty".