25934138496 has 256 divisors, whose sum is σ = 87932160000. Its totient is φ = 7371150336.

The previous prime is 25934138467. The next prime is 25934138533. The reversal of 25934138496 is 69483143952.

25934138496 is a `hidden beast` number, since 2 + 593 + 4 + 1 + 3 + 8 + 49 + 6 = 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 Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4811515 + ... + 4816901.

It is an arithmetic number, because the mean of its divisors is an integer number (343485000).

Almost surely, 2^25934138496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25934138496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43966080000).

25934138496 is an abundant number, since it is smaller than the sum of its proper divisors (61998021504).

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

25934138496 is a wasteful number, since it uses less digits than its factorization.

25934138496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616 (or 5598 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 25934138496 in words is "twenty-five billion, nine hundred thirty-four million, one hundred thirty-eight thousand, four hundred ninety-six".