25378560 has 108 divisors (see below), whose sum is σ = 87847032. Its totient is φ = 6764544.

The previous prime is 25378541. The next prime is 25378571. The reversal of 25378560 is 6587352.

25378560 is a `hidden beast` number, since 25 + 3 + 78 + 560 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10419 + ... + 12621.

Almost surely, 2^25378560 is an apocalyptic number.

25378560 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 25378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43923516).

25378560 is an abundant number, since it is smaller than the sum of its proper divisors (62468472).

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

25378560 is a wasteful number, since it uses less digits than its factorization.

25378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 25378560 is about 5037.7137671765. The cubic root of 25378560 is about 293.8702745742.

The spelling of 25378560 in words is "twenty-five million, three hundred seventy-eight thousand, five hundred sixty".