25216107840 has 896 divisors, whose sum is σ = 114819379200. Its totient is φ = 5055160320.

The previous prime is 25216107821. The next prime is 25216107841. The reversal of 25216107840 is 4870161252.

25216107840 is a `hidden beast` number, since 2 + 521 + 61 + 0 + 78 + 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 = 25216107795 and 25216107804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25216107841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19292467 + ... + 19293773.

Almost surely, 2^25216107840 is an apocalyptic number.

25216107840 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 25216107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57409689600).

25216107840 is an abundant number, since it is smaller than the sum of its proper divisors (89603271360).

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

25216107840 is a wasteful number, since it uses less digits than its factorization.

25216107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 25216107840 in words is "twenty-five billion, two hundred sixteen million, one hundred seven thousand, eight hundred forty".