25927742400 has 252 divisors, whose sum is σ = 98953597368. Its totient is φ = 5926287360.

The previous prime is 25927742387. The next prime is 25927742429. The reversal of 25927742400 is 424772952.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 180082 + ... + 290318.

Almost surely, 2^25927742400 is an apocalyptic number.

25927742400 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 25927742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49476798684).

25927742400 is an abundant number, since it is smaller than the sum of its proper divisors (73025854968).

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

25927742400 is a wasteful number, since it uses less digits than its factorization.

25927742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110276 (or 110254 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 25927742400 in words is "twenty-five billion, nine hundred twenty-seven million, seven hundred forty-two thousand, four hundred".