25042856400 has 240 divisors, whose sum is σ = 94377888000. Its totient is φ = 6285219840.

The previous prime is 25042856393. The next prime is 25042856407. The reversal of 25042856400 is 465824052.

It is a happy number.

25042856400 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 2 + 8 + 5 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25042856393) and next prime (25042856407).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25042856407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115401 + ... + 251799.

It is an arithmetic number, because the mean of its divisors is an integer number (393241200).

Almost surely, 2^25042856400 is an apocalyptic number.

25042856400 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 25042856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47188944000).

25042856400 is an abundant number, since it is smaller than the sum of its proper divisors (69335031600).

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

25042856400 is a wasteful number, since it uses less digits than its factorization.

25042856400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136443 (or 136426 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 25042856400 in words is "twenty-five billion, forty-two million, eight hundred fifty-six thousand, four hundred".