25143416400960 has 3360 divisors, whose sum is σ = 110321647682400. Its totient is φ = 5427589939200.

The previous prime is 25143416400943. The next prime is 25143416400979. The reversal of 25143416400960 is 6900461434152.

25143416400960 is a `hidden beast` number, since 2 + 5 + 143 + 4 + 16 + 400 + 96 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 22664378746944 + 2479037654016 = 4760712^2 + 1574496^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 282510296596 + ... + 282510296684.

It is an arithmetic number, because the mean of its divisors is an integer number (32833823715).

Almost surely, 2^{25143416400960} is an apocalyptic number.

25143416400960 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 25143416400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55160823841200).

25143416400960 is an abundant number, since it is smaller than the sum of its proper divisors (85178231281440).

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

25143416400960 is a wasteful number, since it uses less digits than its factorization.

25143416400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 25143416400960 in words is "twenty-five trillion, one hundred forty-three billion, four hundred sixteen million, four hundred thousand, nine hundred sixty".