827096077525536 has 2304 divisors, whose sum is σ = 3199606019850240. Its totient is φ = 196561563770880.

The previous prime is 827096077525439. The next prime is 827096077525541. The reversal of 827096077525536 is 635525770690728.

827096077525536 is a `hidden beast` number, since 8 + 2 + 7 + 0 + 9 + 60 + 7 + 7 + 5 + 2 + 553 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 855321692925 + ... + 855321693891.

It is an arithmetic number, because the mean of its divisors is an integer number (1388717890560).

Almost surely, 2^{827096077525536} 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 827096077525536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599803009925120).

827096077525536 is an abundant number, since it is smaller than the sum of its proper divisors (2372509942324704).

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

827096077525536 is a wasteful number, since it uses less digits than its factorization.

827096077525536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 1333584000, while the sum is 72.

The spelling of 827096077525536 in words is "eight hundred twenty-seven trillion, ninety-six billion, seventy-seven million, five hundred twenty-five thousand, five hundred thirty-six".