25551680 has 224 divisors, whose sum is σ = 81637632. Its totient is φ = 7372800.

The previous prime is 25551667. The next prime is 25551683. The reversal of 25551680 is 8615552.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25551683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418850 + ... + 418910.

Almost surely, 2^25551680 is an apocalyptic number.

25551680 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 25551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40818816).

25551680 is an abundant number, since it is smaller than the sum of its proper divisors (56085952).

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

25551680 is a wasteful number, since it uses less digits than its factorization.

25551680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 25551680 is about 5054.8669616519. The cubic root of 25551680 is about 294.5369735172.

The spelling of 25551680 in words is "twenty-five million, five hundred fifty-one thousand, six hundred eighty".