25740139824 has 600 divisors, whose sum is σ = 93011176368. Its totient is φ = 6827950080.

The previous prime is 25740139813. The next prime is 25740139837. The reversal of 25740139824 is 42893104752.

25740139824 is a `hidden beast` number, since 257 + 4 + 0 + 1 + 398 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 25740139824.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 121991079 + ... + 121991289.

Almost surely, 2^25740139824 is an apocalyptic number.

25740139824 is a gapful number since it is divisible by the number (24) 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 25740139824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46505588184).

25740139824 is an abundant number, since it is smaller than the sum of its proper divisors (67271036544).

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

25740139824 is a wasteful number, since it uses less digits than its factorization.

25740139824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 25740139824 in words is "twenty-five billion, seven hundred forty million, one hundred thirty-nine thousand, eight hundred twenty-four".