25750146400 has 144 divisors (see below), whose sum is σ = 68681072880. Its totient is φ = 9349529600.

The previous prime is 25750146379. The next prime is 25750146403. The reversal of 25750146400 is 464105752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25750146403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7117392 + ... + 7121008.

It is an arithmetic number, because the mean of its divisors is an integer number (476951895).

Almost surely, 2^25750146400 is an apocalyptic number.

25750146400 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 25750146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34340536440).

25750146400 is an abundant number, since it is smaller than the sum of its proper divisors (42930926480).

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

25750146400 is a wasteful number, since it uses less digits than its factorization.

25750146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 25750146400 in words is "twenty-five billion, seven hundred fifty million, one hundred forty-six thousand, four hundred".