8151250936800 has 576 divisors, whose sum is σ = 28126169809920. Its totient is φ = 2044762030080.

The previous prime is 8151250936793. The next prime is 8151250936823. The reversal of 8151250936800 is 86390521518.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8151250936800.

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 95 ways as a sum of consecutive naturals, for example, 4919281572 + ... + 4919283228.

It is an arithmetic number, because the mean of its divisors is an integer number (48830155920).

Almost surely, 2^{8151250936800} is an apocalyptic number.

8151250936800 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 8151250936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14063084904960).

8151250936800 is an abundant number, since it is smaller than the sum of its proper divisors (19974918873120).

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

8151250936800 is a wasteful number, since it uses less digits than its factorization.

8151250936800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 8151250936800 in words is "eight trillion, one hundred fifty-one billion, two hundred fifty million, nine hundred thirty-six thousand, eight hundred".