25535880 has 96 divisors (see below), whose sum is σ = 84029400. Its totient is φ = 6724608.

The previous prime is 25535869. The next prime is 25535891. The reversal of 25535880 is 8853552.

25535880 is a `hidden beast` number, since 25 + 53 + 588 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25535869) and next prime (25535891).

It can be written as a sum of positive squares in 4 ways, for example, as 16499844 + 9036036 = 4062^2 + 3006^2 .

It is a super-6 number, since 6×25535880⁶ (a number of 46 digits) contains 666666 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31642 + ... + 32438.

Almost surely, 2^25535880 is an apocalyptic number.

25535880 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 25535880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42014700).

25535880 is an abundant number, since it is smaller than the sum of its proper divisors (58493520).

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

25535880 is a wasteful number, since it uses less digits than its factorization.

With its successor (25535881) it forms an eRAP, since the sums of their prime factors are consecutive (903 and 904).

25535880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 25535880 is about 5053.3038697470. The cubic root of 25535880 is about 294.4762515644.

The spelling of 25535880 in words is "twenty-five million, five hundred thirty-five thousand, eight hundred eighty".