25455980160 has 512 divisors, whose sum is σ = 98360640000. Its totient is φ = 6261608448.

The previous prime is 25455980141. The next prime is 25455980197. The reversal of 25455980160 is 6108955452.

25455980160 is a `hidden beast` number, since 2 + 5 + 4 + 559 + 80 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18195141 + ... + 18196539.

It is an arithmetic number, because the mean of its divisors is an integer number (192110625).

Almost surely, 2^25455980160 is an apocalyptic number.

25455980160 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 25455980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49180320000).

25455980160 is an abundant number, since it is smaller than the sum of its proper divisors (72904659840).

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

25455980160 is an equidigital number, since it uses as much as digits as its factorization.

25455980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 25455980160 in words is "twenty-five billion, four hundred fifty-five million, nine hundred eighty thousand, one hundred sixty".