25312119840 has 384 divisors, whose sum is σ = 101796549120. Its totient is φ = 5754322944.

The previous prime is 25312119829. The next prime is 25312119869. The reversal of 25312119840 is 4891121352.

25312119840 is a `hidden beast` number, since 2 + 531 + 2 + 119 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25312119795 and 25312119804.

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, 5834152 + ... + 5838488.

It is an arithmetic number, because the mean of its divisors is an integer number (265095180).

Almost surely, 2^25312119840 is an apocalyptic number.

25312119840 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 25312119840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50898274560).

25312119840 is an abundant number, since it is smaller than the sum of its proper divisors (76484429280).

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

25312119840 is a wasteful number, since it uses less digits than its factorization.

25312119840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4561 (or 4547 counting only the distinct ones).

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

The spelling of 25312119840 in words is "twenty-five billion, three hundred twelve million, one hundred nineteen thousand, eight hundred forty".