25857404690040 has 384 divisors, whose sum is σ = 104966586616320. Its totient is φ = 5363032550400.

The previous prime is 25857404689973. The next prime is 25857404690071. The reversal of 25857404690040 is 4009640475852.

25857404690040 is a `hidden beast` number, since 2 + 5 + 8 + 574 + 0 + 4 + 69 + 0 + 0 + 4 + 0 = 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14134407 + ... + 15858633.

It is an arithmetic number, because the mean of its divisors is an integer number (273350485980).

Almost surely, 2^{25857404690040} is an apocalyptic number.

25857404690040 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 25857404690040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52483293308160).

25857404690040 is an abundant number, since it is smaller than the sum of its proper divisors (79109181926280).

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

25857404690040 is a wasteful number, since it uses less digits than its factorization.

25857404690040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724803 (or 1724796 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 25857404690040 in words is "twenty-five trillion, eight hundred fifty-seven billion, four hundred four million, six hundred ninety thousand, forty".