25553920 has 176 divisors, whose sum is σ = 75460608. Its totient is φ = 8110080.

The previous prime is 25553887. The next prime is 25553929. The reversal of 25553920 is 2935552.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (25553929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824305 + ... + 824335.

Almost surely, 2^25553920 is an apocalyptic number.

25553920 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 25553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37730304).

25553920 is an abundant number, since it is smaller than the sum of its proper divisors (49906688).

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

25553920 is a wasteful number, since it uses less digits than its factorization.

25553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 25553920 is about 5055.0885254365. The cubic root of 25553920 is about 294.5455801730.

The spelling of 25553920 in words is "twenty-five million, five hundred fifty-three thousand, nine hundred twenty".