25135254144 has 768 divisors, whose sum is σ = 98802063360. Its totient is φ = 5922201600.

The previous prime is 25135254047. The next prime is 25135254211. The reversal of 25135254144 is 44145253152.

25135254144 is a `hidden beast` number, since 2 + 51 + 3 + 525 + 41 + 44 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 25135254099 and 25135254108.

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, 81873639 + ... + 81873945.

It is an arithmetic number, because the mean of its divisors is an integer number (128648520).

Almost surely, 2^25135254144 is an apocalyptic number.

25135254144 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 25135254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49401031680).

25135254144 is an abundant number, since it is smaller than the sum of its proper divisors (73666809216).

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

25135254144 is a wasteful number, since it uses less digits than its factorization.

25135254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 414 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The spelling of 25135254144 in words is "twenty-five billion, one hundred thirty-five million, two hundred fifty-four thousand, one hundred forty-four".