25223875694640 has 480 divisors, whose sum is σ = 101651370413760. Its totient is φ = 5732126797824.

The previous prime is 25223875694597. The next prime is 25223875694659. The reversal of 25223875694640 is 4649657832252.

25223875694640 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 3 + 8 + 7 + 569 + 4 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17621532 + ... + 18999108.

It is an arithmetic number, because the mean of its divisors is an integer number (211773688362).

Almost surely, 2^{25223875694640} is an apocalyptic number.

25223875694640 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 25223875694640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50825685206880).

25223875694640 is an abundant number, since it is smaller than the sum of its proper divisors (76427494719120).

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

25223875694640 is a wasteful number, since it uses less digits than its factorization.

25223875694640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377786 (or 1377767 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 25223875694640 in words is "twenty-five trillion, two hundred twenty-three billion, eight hundred seventy-five million, six hundred ninety-four thousand, six hundred forty".