25957619640 has 224 divisors, whose sum is σ = 87753909600. Its totient is φ = 6907265280.

The previous prime is 25957619551. The next prime is 25957619713. The reversal of 25957619640 is 4691675952.

25957619640 is a `hidden beast` number, since 2 + 5 + 9 + 576 + 1 + 9 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24464710 + ... + 24465770.

It is an arithmetic number, because the mean of its divisors is an integer number (391758525).

Almost surely, 2^25957619640 is an apocalyptic number.

25957619640 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 25957619640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43876954800).

25957619640 is an abundant number, since it is smaller than the sum of its proper divisors (61796289960).

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

25957619640 is a wasteful number, since it uses less digits than its factorization.

25957619640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 25957619640 in words is "twenty-five billion, nine hundred fifty-seven million, six hundred nineteen thousand, six hundred forty".