25267135140 has 576 divisors, whose sum is σ = 89420857344. Its totient is φ = 5949199872.

The previous prime is 25267135121. The next prime is 25267135177. The reversal of 25267135140 is 4153176252.

25267135140 is a `hidden beast` number, since 2 + 5 + 267 + 1 + 351 + 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 = 25267135095 and 25267135104.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 198953757 + ... + 198953883.

It is an arithmetic number, because the mean of its divisors is an integer number (155244544).

Almost surely, 2^25267135140 is an apocalyptic number.

25267135140 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 25267135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44710428672).

25267135140 is an abundant number, since it is smaller than the sum of its proper divisors (64153722204).

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

25267135140 is a wasteful number, since it uses less digits than its factorization.

25267135140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 25267135140 in words is "twenty-five billion, two hundred sixty-seven million, one hundred thirty-five thousand, one hundred forty".