25226162640 has 960 divisors, whose sum is σ = 110512926720. Its totient is φ = 5170176000.

The previous prime is 25226162627. The next prime is 25226162659. The reversal of 25226162640 is 4626162252.

25226162640 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 6 + 1 + 6 + 2 + 640 = 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 = 25226162595 and 25226162604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100502515 + ... + 100502765.

It is an arithmetic number, because the mean of its divisors is an integer number (115117632).

Almost surely, 2^25226162640 is an apocalyptic number.

25226162640 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 25226162640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55256463360).

25226162640 is an abundant number, since it is smaller than the sum of its proper divisors (85286764080).

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

25226162640 is a wasteful number, since it uses less digits than its factorization.

25226162640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 25226162640 in words is "twenty-five billion, two hundred twenty-six million, one hundred sixty-two thousand, six hundred forty".