25553400642 has 80 divisors (see below), whose sum is σ = 71387312832. Its totient is φ = 6637243680.

The previous prime is 25553400641. The next prime is 25553400659. The reversal of 25553400642 is 24600435552.

25553400642 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 3 + 4 + 0 + 0 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25553400597 and 25553400606.

It is not an unprimeable number, because it can be changed into a prime (25553400641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1011793 + ... + 1036740.

Almost surely, 2^25553400642 is an apocalyptic number.

25553400642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

25553400642 is an abundant number, since it is smaller than the sum of its proper divisors (45833912190).

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

25553400642 is a wasteful number, since it uses less digits than its factorization.

25553400642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048565 (or 2048556 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 25553400642 in words is "twenty-five billion, five hundred fifty-three million, four hundred thousand, six hundred forty-two".