7851814292960 has 96 divisors (see below), whose sum is σ = 21301333603200. Its totient is φ = 2704931228160.

The previous prime is 7851814292909. The next prime is 7851814292999. The reversal of 7851814292960 is 692924181587.

It is a super-2 number, since 2×7851814292960² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7851814292893 and 7851814292902.

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 15 ways as a sum of consecutive naturals, for example, 117368090 + ... + 117434969.

It is an arithmetic number, because the mean of its divisors is an integer number (221888891700).

Almost surely, 2^{7851814292960} is an apocalyptic number.

It is an amenable number.

7851814292960 is an abundant number, since it is smaller than the sum of its proper divisors (13449519310240).

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

7851814292960 is a wasteful number, since it uses less digits than its factorization.

7851814292960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234803104 (or 234803096 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 62.

The spelling of 7851814292960 in words is "seven trillion, eight hundred fifty-one billion, eight hundred fourteen million, two hundred ninety-two thousand, nine hundred sixty".