25535553120 has 2304 divisors, whose sum is σ = 130427781120. Its totient is φ = 4379443200.

The previous prime is 25535553119. The next prime is 25535553167. The reversal of 25535553120 is 2135553552.

25535553120 is a `hidden beast` number, since 2 + 5 + 53 + 55 + 531 + 20 = 666.

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 383 ways as a sum of consecutive naturals, for example, 823727505 + ... + 823727535.

It is an arithmetic number, because the mean of its divisors is an integer number (56609280).

Almost surely, 2^25535553120 is an apocalyptic number.

25535553120 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 25535553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65213890560).

25535553120 is an abundant number, since it is smaller than the sum of its proper divisors (104892228000).

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

25535553120 is a wasteful number, since it uses less digits than its factorization.

25535553120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 36.

The spelling of 25535553120 in words is "twenty-five billion, five hundred thirty-five million, five hundred fifty-three thousand, one hundred twenty".