25918341120 has 896 divisors, whose sum is σ = 110023303680. Its totient is φ = 5733089280.

The previous prime is 25918341107. The next prime is 25918341133. The reversal of 25918341120 is 2114381952.

25918341120 is a `hidden beast` number, since 2 + 591 + 8 + 3 + 41 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (25918341107) and next prime (25918341133).

It is a tau number, because it is divible by the number of its divisors (896).

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 55 ways as a sum of consecutive naturals, for example, 836075505 + ... + 836075535.

Almost surely, 2^25918341120 is an apocalyptic number.

25918341120 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 25918341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55011651840).

25918341120 is an abundant number, since it is smaller than the sum of its proper divisors (84104962560).

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

25918341120 is an frugal number, since it uses more digits than its factorization.

25918341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 25918341120 in words is "twenty-five billion, nine hundred eighteen million, three hundred forty-one thousand, one hundred twenty".