25754400000 has 972 divisors, whose sum is σ = 109446799644. Its totient is φ = 5806080000.

The previous prime is 25754399947. The next prime is 25754400037. The reversal of 25754400000 is 445752.

25754400000 is a `hidden beast` number, since 257 + 5 + 4 + 400 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20584214784 + 5170185216 = 143472^2 + 71904^2 .

It is a hoax number, since the sum of its digits (27) 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 107 ways as a sum of consecutive naturals, for example, 352799964 + ... + 352800036.

Almost surely, 2^25754400000 is an apocalyptic number.

25754400000 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 25754400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54723399822).

25754400000 is an abundant number, since it is smaller than the sum of its proper divisors (83692399644).

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

25754400000 is an frugal number, since it uses more digits than its factorization.

25754400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

Adding to 25754400000 its reverse (445752), we get a palindrome (25754845752).

The spelling of 25754400000 in words is "twenty-five billion, seven hundred fifty-four million, four hundred thousand".