8212621000320 has 1152 divisors, whose sum is σ = 34018573492800. Its totient is φ = 1873645240320.

The previous prime is 8212621000271. The next prime is 8212621000327. The reversal of 8212621000320 is 230001262128.

8212621000320 is a `hidden beast` number, since 8 + 2 + 1 + 2 + 621 + 0 + 0 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8212621000327) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 785215251 + ... + 785225709.

Almost surely, 2^{8212621000320} is an apocalyptic number.

8212621000320 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 8212621000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17009286746400).

8212621000320 is an abundant number, since it is smaller than the sum of its proper divisors (25805952492480).

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

8212621000320 is a wasteful number, since it uses less digits than its factorization.

8212621000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10530 (or 10497 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 8212621000320 its reverse (230001262128), we get a palindrome (8442622262448).

The spelling of 8212621000320 in words is "eight trillion, two hundred twelve billion, six hundred twenty-one million, three hundred twenty", and thus it is an aban number.