8252122518000 has 480 divisors, whose sum is σ = 29687923279872. Its totient is φ = 2135125440000.

The previous prime is 8252122517993. The next prime is 8252122518053. The reversal of 8252122518000 is 8152212528.

8252122518000 is a `hidden beast` number, since 8 + 2 + 521 + 2 + 2 + 51 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116838697 + ... + 116909303.

Almost surely, 2^{8252122518000} is an apocalyptic number.

8252122518000 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 8252122518000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14843961639936).

8252122518000 is an abundant number, since it is smaller than the sum of its proper divisors (21435800761872).

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

8252122518000 is a wasteful number, since it uses less digits than its factorization.

8252122518000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70830 (or 70811 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 8252122518000 in words is "eight trillion, two hundred fifty-two billion, one hundred twenty-two million, five hundred eighteen thousand".