25578742343040 has 256 divisors, whose sum is σ = 91609265304000. Its totient is φ = 6744357126144.

The previous prime is 25578742343023. The next prime is 25578742343041. The reversal of 25578742343040 is 4034324787552.

25578742343040 is a `hidden beast` number, since 2 + 5 + 57 + 87 + 42 + 3 + 430 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25578742343041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6778099 + ... + 9853938.

Almost surely, 2^{25578742343040} is an apocalyptic number.

25578742343040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25578742343040 is an abundant number, since it is smaller than the sum of its proper divisors (66030522960960).

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

25578742343040 is a wasteful number, since it uses less digits than its factorization.

25578742343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16632154 (or 16632136 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 54.

The spelling of 25578742343040 in words is "twenty-five trillion, five hundred seventy-eight billion, seven hundred forty-two million, three hundred forty-three thousand, forty".