8212650393600 has 1026 divisors, whose sum is σ = 30709393800384. Its totient is φ = 2178573926400.

The previous prime is 8212650393569. The next prime is 8212650393631. The reversal of 8212650393600 is 63930562128.

8212650393600 is a `hidden beast` number, since 8 + 2 + 1 + 2 + 6 + 5 + 0 + 39 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (8212650393569) and next prime (8212650393631).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 42998169505 + ... + 42998169695.

Almost surely, 2^{8212650393600} is an apocalyptic number.

8212650393600 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 8212650393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15354696900192).

8212650393600 is an abundant number, since it is smaller than the sum of its proper divisors (22496743406784).

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

8212650393600 is an frugal number, since it uses more digits than its factorization.

8212650393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 8212650393600 in words is "eight trillion, two hundred twelve billion, six hundred fifty million, three hundred ninety-three thousand, six hundred".