25387792416 has 336 divisors, whose sum is σ = 86504531904. Its totient is φ = 7180918272.

The previous prime is 25387792399. The next prime is 25387792429. The reversal of 25387792416 is 61429778352.

It is a happy number.

25387792416 is a `hidden beast` number, since 2 + 538 + 7 + 7 + 92 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17471946 + ... + 17473398.

It is an arithmetic number, because the mean of its divisors is an integer number (257453964).

Almost surely, 2^25387792416 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 25387792416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43252265952).

25387792416 is an abundant number, since it is smaller than the sum of its proper divisors (61116739488).

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

25387792416 is a wasteful number, since it uses less digits than its factorization.

25387792416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1572 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 25387792416 in words is "twenty-five billion, three hundred eighty-seven million, seven hundred ninety-two thousand, four hundred sixteen".