25982087040 has 1536 divisors, whose sum is σ = 120418099200. Its totient is φ = 5175705600.

The previous prime is 25982087029. The next prime is 25982087051. The reversal of 25982087040 is 4078028952.

It is an interprime number because it is at equal distance from previous prime (25982087029) and next prime (25982087051).

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

It is a congruent number.

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, 633709420 + ... + 633709460.

It is an arithmetic number, because the mean of its divisors is an integer number (78397200).

Almost surely, 2^25982087040 is an apocalyptic number.

25982087040 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 25982087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60209049600).

25982087040 is an abundant number, since it is smaller than the sum of its proper divisors (94436012160).

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

25982087040 is a wasteful number, since it uses less digits than its factorization.

25982087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 25982087040 in words is "twenty-five billion, nine hundred eighty-two million, eighty-seven thousand, forty".