25919948160 has 480 divisors, whose sum is σ = 96309069120. Its totient is φ = 6636349440.

The previous prime is 25919948149. The next prime is 25919948189. The reversal of 25919948160 is 6184991952.

25919948160 is a `hidden beast` number, since 2 + 591 + 9 + 9 + 48 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25919948097 and 25919948106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 204094017 + ... + 204094143.

It is an arithmetic number, because the mean of its divisors is an integer number (200643894).

Almost surely, 2^25919948160 is an apocalyptic number.

25919948160 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 25919948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48154534560).

25919948160 is an abundant number, since it is smaller than the sum of its proper divisors (70389120960).

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

25919948160 is an equidigital number, since it uses as much as digits as its factorization.

25919948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 25919948160 in words is "twenty-five billion, nine hundred nineteen million, nine hundred forty-eight thousand, one hundred sixty".