25507067040 has 576 divisors, whose sum is σ = 108920028672. Its totient is φ = 5291827200.

The previous prime is 25507067039. The next prime is 25507067071. The reversal of 25507067040 is 4076070552.

25507067040 is a `hidden beast` number, since 2 + 550 + 7 + 0 + 67 + 0 + 40 = 666.

It is a super-2 number, since 2×25507067040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25507066986 and 25507067004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7991845 + ... + 7995035.

It is an arithmetic number, because the mean of its divisors is an integer number (189097272).

Almost surely, 2^25507067040 is an apocalyptic number.

25507067040 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 25507067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54460014336).

25507067040 is an abundant number, since it is smaller than the sum of its proper divisors (83412961632).

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

25507067040 is a wasteful number, since it uses less digits than its factorization.

25507067040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 25507067040 in words is "twenty-five billion, five hundred seven million, sixty-seven thousand, forty".