25068083040 has 2304 divisors, whose sum is σ = 129731051520. Its totient is φ = 4379443200.

The previous prime is 25068083021. The next prime is 25068083063. The reversal of 25068083040 is 4038086052.

25068083040 is a `hidden beast` number, since 2 + 506 + 80 + 8 + 30 + 40 = 666.

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 = 25068082986 and 25068083004.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 808647825 + ... + 808647855.

It is an arithmetic number, because the mean of its divisors is an integer number (56306880).

Almost surely, 2^25068083040 is an apocalyptic number.

25068083040 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 25068083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64865525760).

25068083040 is an abundant number, since it is smaller than the sum of its proper divisors (104662968480).

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

25068083040 is a wasteful number, since it uses less digits than its factorization.

25068083040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 25068083040 in words is "twenty-five billion, sixty-eight million, eighty-three thousand, forty".