8123290156800 has 4536 divisors, whose sum is σ = 39896933245344. Its totient is φ = 1593082183680.

The previous prime is 8123290156763. The next prime is 8123290156859. The reversal of 8123290156800 is 86510923218.

8123290156800 is a `hidden beast` number, since 81 + 2 + 3 + 2 + 9 + 0 + 1 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 153269625574 + ... + 153269625626.

It is an arithmetic number, because the mean of its divisors is an integer number (8795620204).

Almost surely, 2^{8123290156800} is an apocalyptic number.

8123290156800 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 8123290156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19948466622672).

8123290156800 is an abundant number, since it is smaller than the sum of its proper divisors (31773643088544).

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

8123290156800 is a wasteful number, since it uses less digits than its factorization.

8123290156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 8123290156800 in words is "eight trillion, one hundred twenty-three billion, two hundred ninety million, one hundred fifty-six thousand, eight hundred".