25742956919040 has 432 divisors, whose sum is σ = 93073723142400. Its totient is φ = 6556905062400.

The previous prime is 25742956919039. The next prime is 25742956919051. The reversal of 25742956919040 is 4091965924752.

25742956919040 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 29 + 569 + 1 + 9 + 0 + 40 = 666.

It is a super-2 number, since 2×25742956919040² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185667661 + ... + 185806259.

It is an arithmetic number, because the mean of its divisors is an integer number (215448433200).

Almost surely, 2^{25742956919040} is an apocalyptic number.

25742956919040 is a gapful number since it is divisible by the number (20) 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 25742956919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46536861571200).

25742956919040 is an abundant number, since it is smaller than the sum of its proper divisors (67330766223360).

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

25742956919040 is a wasteful number, since it uses less digits than its factorization.

25742956919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139350 (or 139333 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 25742956919040 in words is "twenty-five trillion, seven hundred forty-two billion, nine hundred fifty-six million, nine hundred nineteen thousand, forty".