8252351919000 has 384 divisors, whose sum is σ = 32159787454080. Its totient is φ = 1869557760000.

The previous prime is 8252351918999. The next prime is 8252351919067. The reversal of 8252351919000 is 9191532528.

8252351919000 is a `hidden beast` number, since 8 + 25 + 23 + 519 + 1 + 90 + 0 + 0 = 666.

It is a super-2 number, since 2×8252351919000² (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 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, 6539400 + ... + 7698600.

It is an arithmetic number, because the mean of its divisors is an integer number (83749446495).

Almost surely, 2^{8252351919000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8252351919000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16079893727040).

8252351919000 is an abundant number, since it is smaller than the sum of its proper divisors (23907435535080).

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

8252351919000 is a wasteful number, since it uses less digits than its factorization.

8252351919000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159348 (or 1159331 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 8252351919000 in words is "eight trillion, two hundred fifty-two billion, three hundred fifty-one million, nine hundred nineteen thousand".