25830801178272 has 192 divisors, whose sum is σ = 81863321702400. Its totient is φ = 7893962853120.

The previous prime is 25830801178271. The next prime is 25830801178289. The reversal of 25830801178272 is 27287110803852.

It is a happy number.

25830801178272 is a `hidden beast` number, since 2 + 58 + 308 + 0 + 1 + 17 + 8 + 272 = 666.

It is a super-2 number, since 2×25830801178272² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (25830801178271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24870358 + ... + 25888149.

It is an arithmetic number, because the mean of its divisors is an integer number (426371467200).

Almost surely, 2^{25830801178272} is an apocalyptic number.

It is an amenable number.

25830801178272 is an abundant number, since it is smaller than the sum of its proper divisors (56032520524128).

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

25830801178272 is a wasteful number, since it uses less digits than its factorization.

25830801178272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50758576 (or 50758562 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 25830801178272 in words is "twenty-five trillion, eight hundred thirty billion, eight hundred one million, one hundred seventy-eight thousand, two hundred seventy-two".