827951772960 has 384 divisors, whose sum is σ = 3125341739520. Its totient is φ = 203503104000.

The previous prime is 827951772889. The next prime is 827951772961. The reversal of 827951772960 is 69277159728.

827951772960 is a `hidden beast` number, since 8 + 27 + 9 + 517 + 7 + 2 + 96 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (827951772961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39357645 + ... + 39378675.

It is an arithmetic number, because the mean of its divisors is an integer number (8138910780).

Almost surely, 2^827951772960 is an apocalyptic number.

827951772960 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 827951772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562670869760).

827951772960 is an abundant number, since it is smaller than the sum of its proper divisors (2297389966560).

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

827951772960 is a wasteful number, since it uses less digits than its factorization.

827951772960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21769 (or 21755 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 827951772960 in words is "eight hundred twenty-seven billion, nine hundred fifty-one million, seven hundred seventy-two thousand, nine hundred sixty".