821966745600000 has 8064 divisors, whose sum is σ = 4167689619854880. Its totient is φ = 157659955200000.

The previous prime is 821966745599999. The next prime is 821966745600089. The reversal of 821966745600000 is 6547669128.

821966745600000 is a `hidden beast` number, since 8 + 2 + 1 + 9 + 6 + 6 + 74 + 560 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 821966745600000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 63228211199994 + ... + 63228211200006.

Almost surely, 2^{821966745600000} is an apocalyptic number.

821966745600000 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 821966745600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083844809927440).

821966745600000 is an abundant number, since it is smaller than the sum of its proper divisors (3345722874254880).

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

821966745600000 is an frugal number, since it uses more digits than its factorization.

821966745600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 821966745600000 in words is "eight hundred twenty-one trillion, nine hundred sixty-six billion, seven hundred forty-five million, six hundred thousand".