827500972032 has 576 divisors, whose sum is σ = 2835727090560. Its totient is φ = 227539943424.

The previous prime is 827500972019. The next prime is 827500972061. The reversal of 827500972032 is 230279005728.

827500972032 is a `hidden beast` number, since 8 + 2 + 7 + 500 + 97 + 20 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463066243 + ... + 463068029.

It is an arithmetic number, because the mean of its divisors is an integer number (4923137310).

Almost surely, 2^827500972032 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 827500972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417863545280).

827500972032 is an abundant number, since it is smaller than the sum of its proper divisors (2008226118528).

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

827500972032 is a wasteful number, since it uses less digits than its factorization.

827500972032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 827500972032 in words is "eight hundred twenty-seven billion, five hundred million, nine hundred seventy-two thousand, thirty-two".