25964701943040 has 3456 divisors, whose sum is σ = 121109138841600. Its totient is φ = 5187012526080.

The previous prime is 25964701943029. The next prime is 25964701943071. The reversal of 25964701943040 is 4034910746952.

25964701943040 is a `hidden beast` number, since 2 + 5 + 96 + 4 + 70 + 19 + 430 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 383 ways as a sum of consecutive naturals, for example, 27592668970 + ... + 27592669910.

It is an arithmetic number, because the mean of its divisors is an integer number (35043153600).

Almost surely, 2^{25964701943040} is an apocalyptic number.

25964701943040 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 25964701943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60554569420800).

25964701943040 is an abundant number, since it is smaller than the sum of its proper divisors (95144436898560).

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

25964701943040 is a wasteful number, since it uses less digits than its factorization.

25964701943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 25964701943040 in words is "twenty-five trillion, nine hundred sixty-four billion, seven hundred one million, nine hundred forty-three thousand, forty".