25953922983744 has 672 divisors, whose sum is σ = 87193026625536. Its totient is φ = 7228526469120.

The previous prime is 25953922983733. The next prime is 25953922983757. The reversal of 25953922983744 is 44738922935952.

25953922983744 is a `hidden beast` number, since 2 + 5 + 9 + 539 + 2 + 2 + 9 + 83 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×25953922983744² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1175731200) is a multiple of the sum of its prime divisors (2430).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14174724909 + ... + 14174726739.

Almost surely, 2^{25953922983744} is an apocalyptic number.

25953922983744 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 25953922983744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43596513312768).

25953922983744 is an abundant number, since it is smaller than the sum of its proper divisors (61239103641792).

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

25953922983744 is a wasteful number, since it uses less digits than its factorization.

25953922983744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2430 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 72.

The spelling of 25953922983744 in words is "twenty-five trillion, nine hundred fifty-three billion, nine hundred twenty-two million, nine hundred eighty-three thousand, seven hundred forty-four".