25756407040 has 432 divisors, whose sum is σ = 79859243520. Its totient is φ = 7880785920.

The previous prime is 25756407029. The next prime is 25756407059. The reversal of 25756407040 is 4070465752.

It is a super-2 number, since 2×25756407040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 25756406984 and 25756407002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25275651 + ... + 25276669.

It is an arithmetic number, because the mean of its divisors is an integer number (184859360).

Almost surely, 2^25756407040 is an apocalyptic number.

25756407040 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 25756407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39929621760).

25756407040 is an abundant number, since it is smaller than the sum of its proper divisors (54102836480).

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

25756407040 is a wasteful number, since it uses less digits than its factorization.

25756407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The spelling of 25756407040 in words is "twenty-five billion, seven hundred fifty-six million, four hundred seven thousand, forty".