25193656140 has 192 divisors, whose sum is σ = 73649157120. Its totient is φ = 6430233600.

The previous prime is 25193656133. The next prime is 25193656153. The reversal of 25193656140 is 4165639152.

It is a junction number, because it is equal to n+sod(n) for n = 25193656092 and 25193656101.

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, 28402777 + ... + 28403663.

It is an arithmetic number, because the mean of its divisors is an integer number (383589360).

Almost surely, 2^25193656140 is an apocalyptic number.

25193656140 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 25193656140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36824578560).

25193656140 is an abundant number, since it is smaller than the sum of its proper divisors (48455500980).

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

25193656140 is a wasteful number, since it uses less digits than its factorization.

25193656140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 25193656140 in words is "twenty-five billion, one hundred ninety-three million, six hundred fifty-six thousand, one hundred forty".