25916823240 has 768 divisors, whose sum is σ = 104868691200. Its totient is φ = 5057740800.

The previous prime is 25916823227. The next prime is 25916823253. The reversal of 25916823240 is 4232861952.

It is an interprime number because it is at equal distance from previous prime (25916823227) and next prime (25916823253).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 25916823192 and 25916823201.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76904352 + ... + 76904688.

It is an arithmetic number, because the mean of its divisors is an integer number (136547775).

Almost surely, 2^25916823240 is an apocalyptic number.

25916823240 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 25916823240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52434345600).

25916823240 is an abundant number, since it is smaller than the sum of its proper divisors (78951867960).

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

25916823240 is a wasteful number, since it uses less digits than its factorization.

25916823240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 25916823240 in words is "twenty-five billion, nine hundred sixteen million, eight hundred twenty-three thousand, two hundred forty".