25601166151344 has 480 divisors, whose sum is σ = 85221353817600. Its totient is φ = 7023229452288.

The previous prime is 25601166151331. The next prime is 25601166151397. The reversal of 25601166151344 is 44315166110652.

25601166151344 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 1 + 16 + 615 + 13 + 4 + 4 = 666.

It is a super-2 number, since 2×25601166151344² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25601166151344.

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, 626430399 + ... + 626471265.

It is an arithmetic number, because the mean of its divisors is an integer number (177544487120).

Almost surely, 2^{25601166151344} is an apocalyptic number.

25601166151344 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 25601166151344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42610676908800).

25601166151344 is an abundant number, since it is smaller than the sum of its proper divisors (59620187666256).

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

25601166151344 is a wasteful number, since it uses less digits than its factorization.

25601166151344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41177 (or 41168 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 25601166151344 in words is "twenty-five trillion, six hundred one billion, one hundred sixty-six million, one hundred fifty-one thousand, three hundred forty-four".