8151653095200 has 1152 divisors, whose sum is σ = 32098650554880. Its totient is φ = 1988444160000.

The previous prime is 8151653095163. The next prime is 8151653095237. The reversal of 8151653095200 is 25903561518.

8151653095200 is a `hidden beast` number, since 8 + 1 + 5 + 1 + 6 + 530 + 95 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8151653095163) and next prime (8151653095237).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4682166330 + ... + 4682168070.

It is an arithmetic number, because the mean of its divisors is an integer number (27863411940).

Almost surely, 2^{8151653095200} is an apocalyptic number.

8151653095200 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 8151653095200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16049325277440).

8151653095200 is an abundant number, since it is smaller than the sum of its proper divisors (23946997459680).

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

8151653095200 is a wasteful number, since it uses less digits than its factorization.

8151653095200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 8151653095200 in words is "eight trillion, one hundred fifty-one billion, six hundred fifty-three million, ninety-five thousand, two hundred".