25783367040 has 256 divisors, whose sum is σ = 91739289600. Its totient is φ = 6843709440.

The previous prime is 25783367003. The next prime is 25783367069. The reversal of 25783367040 is 4076338752.

25783367040 is a `hidden beast` number, since 2 + 578 + 3 + 3 + 6 + 70 + 4 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 3850095 + ... + 3856785.

It is an arithmetic number, because the mean of its divisors is an integer number (358356600).

Almost surely, 2^25783367040 is an apocalyptic number.

25783367040 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 25783367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45869644800).

25783367040 is an abundant number, since it is smaller than the sum of its proper divisors (65955922560).

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

25783367040 is a wasteful number, since it uses less digits than its factorization.

25783367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6942 (or 6924 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 25783367040 in words is "twenty-five billion, seven hundred eighty-three million, three hundred sixty-seven thousand, forty".