25816199040 has 256 divisors, whose sum is σ = 94587048000. Its totient is φ = 6646800384.

The previous prime is 25816199039. The next prime is 25816199041. The reversal of 25816199040 is 4099161852.

25816199040 is a `hidden beast` number, since 2 + 581 + 61 + 9 + 9 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25816199039) and next prime (25816199041).

It is a super-2 number, since 2×25816199040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25816199041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475362 + ... + 526878.

Almost surely, 2^25816199040 is an apocalyptic number.

25816199040 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 25816199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47293524000).

25816199040 is an abundant number, since it is smaller than the sum of its proper divisors (68770848960).

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

25816199040 is a wasteful number, since it uses less digits than its factorization.

25816199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51574 (or 51556 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 25816199040 in words is "twenty-five billion, eight hundred sixteen million, one hundred ninety-nine thousand, forty".