8133875456000 has 768 divisors, whose sum is σ = 24125318380800. Its totient is φ = 2678194176000.

The previous prime is 8133875455969. The next prime is 8133875456027. The reversal of 8133875456000 is 6545783318.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 8133875456000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14603007722 + ... + 14603008278.

It is an arithmetic number, because the mean of its divisors is an integer number (31413174975).

Almost surely, 2^{8133875456000} is an apocalyptic number.

8133875456000 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 8133875456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12062659190400).

8133875456000 is an abundant number, since it is smaller than the sum of its proper divisors (15991442924800).

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

8133875456000 is a wasteful number, since it uses less digits than its factorization.

8133875456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 50.

The spelling of 8133875456000 in words is "eight trillion, one hundred thirty-three billion, eight hundred seventy-five million, four hundred fifty-six thousand".