10347160987200 has 84 divisors (see below), whose sum is σ = 33947310687920. Its totient is φ = 2759242928640.

The previous prime is 10347160987153. The next prime is 10347160987213. The reversal of 10347160987200 is 278906174301.

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 10347160987200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1077824470 + ... + 1077834069.

Almost surely, 2^{10347160987200} is an apocalyptic number.

10347160987200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10347160987200 is an abundant number, since it is smaller than the sum of its proper divisors (23600149700720).

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

10347160987200 is a wasteful number, since it uses less digits than its factorization.

10347160987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155658564 (or 2155658549 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 10347160987200 in words is "ten trillion, three hundred forty-seven billion, one hundred sixty million, nine hundred eighty-seven thousand, two hundred".