25527727871352 has 384 divisors, whose sum is σ = 88101561600000. Its totient is φ = 6500647415808.

The previous prime is 25527727871339. The next prime is 25527727871363. The reversal of 25527727871352 is 25317872772552.

25527727871352 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 7 + 7 + 278 + 7 + 1 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 25527727871352.

It is a congruent number.

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, 414926049 + ... + 414987567.

It is an arithmetic number, because the mean of its divisors is an integer number (229431150000).

Almost surely, 2^{25527727871352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25527727871352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44050780800000).

25527727871352 is an abundant number, since it is smaller than the sum of its proper divisors (62573833728648).

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

25527727871352 is a wasteful number, since it uses less digits than its factorization.

25527727871352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64123 (or 64116 counting only the distinct ones).

The product of its digits is 115248000, while the sum is 63.

The spelling of 25527727871352 in words is "twenty-five trillion, five hundred twenty-seven billion, seven hundred twenty-seven million, eight hundred seventy-one thousand, three hundred fifty-two".