8212921516800 has 8640 divisors, whose sum is σ = 46370282112000. Its totient is φ = 1404606873600.

The previous prime is 8212921516769. The next prime is 8212921516823. The reversal of 8212921516800 is 86151292128.

8212921516800 is a `hidden beast` number, since 8 + 2 + 129 + 2 + 1 + 516 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a super-2 number, since 2×8212921516800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 432259027191 + ... + 432259027209.

It is an arithmetic number, because the mean of its divisors is an integer number (5366930800).

Almost surely, 2^{8212921516800} is an apocalyptic number.

8212921516800 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 8212921516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23185141056000).

8212921516800 is an abundant number, since it is smaller than the sum of its proper divisors (38157360595200).

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

8212921516800 is a wasteful number, since it uses less digits than its factorization.

8212921516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 8212921516800 in words is "eight trillion, two hundred twelve billion, nine hundred twenty-one million, five hundred sixteen thousand, eight hundred".