25448877775440 has 3360 divisors, whose sum is σ = 116806898880000. Its totient is φ = 5106247630848.

The previous prime is 25448877775429. The next prime is 25448877775463. The reversal of 25448877775440 is 4457777884452.

25448877775440 is a `hidden beast` number, since 2 + 5 + 4 + 4 + 8 + 8 + 7 + 7 + 77 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 72919420386 + ... + 72919420734.

It is an arithmetic number, because the mean of its divisors is an integer number (34763958000).

Almost surely, 2^{25448877775440} is an apocalyptic number.

25448877775440 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 25448877775440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58403449440000).

25448877775440 is an abundant number, since it is smaller than the sum of its proper divisors (91358021104560).

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

25448877775440 is a wasteful number, since it uses less digits than its factorization.

25448877775440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1966899200, while the sum is 72.

The spelling of 25448877775440 in words is "twenty-five trillion, four hundred forty-eight billion, eight hundred seventy-seven million, seven hundred seventy-five thousand, four hundred forty".