25541424599040 has 2496 divisors, whose sum is σ = 110648873926656. Its totient is φ = 5317588942848.

The previous prime is 25541424599027. The next prime is 25541424599051. The reversal of 25541424599040 is 4099542414552.

It is a happy number.

25541424599040 is a `hidden beast` number, since 2 + 5 + 5 + 4 + 1 + 4 + 2 + 4 + 599 + 0 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147638292394 + ... + 147638292566.

It is an arithmetic number, because the mean of its divisors is an integer number (44330478336).

Almost surely, 2^{25541424599040} is an apocalyptic number.

25541424599040 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 25541424599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55324436963328).

25541424599040 is an abundant number, since it is smaller than the sum of its proper divisors (85107449327616).

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

25541424599040 is a wasteful number, since it uses less digits than its factorization.

25541424599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 25541424599040 in words is "twenty-five trillion, five hundred forty-one billion, four hundred twenty-four million, five hundred ninety-nine thousand, forty".