8151751171200 has 1536 divisors, whose sum is σ = 34813771776000. Its totient is φ = 1664177356800.

The previous prime is 8151751171171. The next prime is 8151751171211. The reversal of 8151751171200 is 21711571518.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 191 ways as a sum of consecutive naturals, for example, 1326995329 + ... + 1327001471.

It is an arithmetic number, because the mean of its divisors is an integer number (22665216000).

Almost surely, 2^{8151751171200} is an apocalyptic number.

8151751171200 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 8151751171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17406885888000).

8151751171200 is an abundant number, since it is smaller than the sum of its proper divisors (26662020604800).

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

8151751171200 is a wasteful number, since it uses less digits than its factorization.

8151751171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6235 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 39.

The spelling of 8151751171200 in words is "eight trillion, one hundred fifty-one billion, seven hundred fifty-one million, one hundred seventy-one thousand, two hundred".