827512295579200 has 1344 divisors, whose sum is σ = 2718765812851200. Its totient is φ = 239978151936000.

The previous prime is 827512295579197. The next prime is 827512295579231. The reversal of 827512295579200 is 2975592215728.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 239928179076 + ... + 239928182524.

It is an arithmetic number, because the mean of its divisors is an integer number (2022891229800).

Almost surely, 2^{827512295579200} is an apocalyptic number.

827512295579200 is a gapful number since it is divisible by the number (80) 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 827512295579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359382906425600).

827512295579200 is an abundant number, since it is smaller than the sum of its proper divisors (1891253517272000).

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

827512295579200 is a wasteful number, since it uses less digits than its factorization.

827512295579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4784 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 64.

The spelling of 827512295579200 in words is "eight hundred twenty-seven trillion, five hundred twelve billion, two hundred ninety-five million, five hundred seventy-nine thousand, two hundred".