821362087392 has 384 divisors, whose sum is σ = 2840520130560. Its totient is φ = 201478717440.

The previous prime is 821362087379. The next prime is 821362087421. The reversal of 821362087392 is 293780263128.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13400688 + ... + 13461840.

It is an arithmetic number, because the mean of its divisors is an integer number (7397187840).

Almost surely, 2^821362087392 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 821362087392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420260065280).

821362087392 is an abundant number, since it is smaller than the sum of its proper divisors (2019158043168).

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

821362087392 is a wasteful number, since it uses less digits than its factorization.

821362087392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61286 (or 61278 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 821362087392 in words is "eight hundred twenty-one billion, three hundred sixty-two million, eighty-seven thousand, three hundred ninety-two".