25133242680 has 1024 divisors, whose sum is σ = 111767040000. Its totient is φ = 4974649344.

The previous prime is 25133242661. The next prime is 25133242711. The reversal of 25133242680 is 8624233152.

25133242680 is a `hidden beast` number, since 25 + 133 + 2 + 426 + 80 = 666.

It is a super-2 number, since 2×25133242680² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 81867087 + ... + 81867393.

It is an arithmetic number, because the mean of its divisors is an integer number (109147500).

Almost surely, 2^25133242680 is an apocalyptic number.

25133242680 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 25133242680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520000).

25133242680 is an abundant number, since it is smaller than the sum of its proper divisors (86633797320).

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

25133242680 is a wasteful number, since it uses less digits than its factorization.

25133242680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 354 counting only the distinct ones).

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

The spelling of 25133242680 in words is "twenty-five billion, one hundred thirty-three million, two hundred forty-two thousand, six hundred eighty".