827105551272 has 1152 divisors, whose sum is σ = 3191585587200. Its totient is φ = 196151155200.

The previous prime is 827105551253. The next prime is 827105551301. The reversal of 827105551272 is 272155501728.

827105551272 is a `hidden beast` number, since 8 + 2 + 7 + 10 + 55 + 512 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2498808147 + ... + 2498808477.

It is an arithmetic number, because the mean of its divisors is an integer number (2770473600).

Almost surely, 2^827105551272 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 827105551272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595792793600).

827105551272 is an abundant number, since it is smaller than the sum of its proper divisors (2364480035928).

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

827105551272 is a wasteful number, since it uses less digits than its factorization.

827105551272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 827105551272 in words is "eight hundred twenty-seven billion, one hundred five million, five hundred fifty-one thousand, two hundred seventy-two".