25123871283264 has 672 divisors, whose sum is σ = 81047800108800. Its totient is φ = 7627408588800.

The previous prime is 25123871283263. The next prime is 25123871283299. The reversal of 25123871283264 is 46238217832152.

25123871283264 is a `hidden beast` number, since 2 + 5 + 1 + 2 + 38 + 71 + 283 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 25123871283264.

It is not an unprimeable number, because it can be changed into a prime (25123871283263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19311199414 + ... + 19311200714.

It is an arithmetic number, because the mean of its divisors is an integer number (120606845400).

Almost surely, 2^{25123871283264} is an apocalyptic number.

25123871283264 is a gapful number since it is divisible by the number (24) 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 25123871283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40523900054400).

25123871283264 is an abundant number, since it is smaller than the sum of its proper divisors (55923928825536).

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

25123871283264 is a wasteful number, since it uses less digits than its factorization.

25123871283264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2151 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 25123871283264 in words is "twenty-five trillion, one hundred twenty-three billion, eight hundred seventy-one million, two hundred eighty-three thousand, two hundred sixty-four".