1156106668800 has 864 divisors, whose sum is σ = 4085001043200. Its totient is φ = 287424184320.

The previous prime is 1156106668741. The next prime is 1156106668807. The reversal of 1156106668800 is 88666016511.

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 1156106668800.

It is not an unprimeable number, because it can be changed into a prime (1156106668807) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2609721379 + ... + 2609721821.

Almost surely, 2^{1156106668800} is an apocalyptic number.

1156106668800 is a gapful number since it is divisible by the number (10) 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 1156106668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042500521600).

1156106668800 is an abundant number, since it is smaller than the sum of its proper divisors (2928894374400).

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

1156106668800 is a wasteful number, since it uses less digits than its factorization.

1156106668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 1156106668800 in words is "one trillion, one hundred fifty-six billion, one hundred six million, six hundred sixty-eight thousand, eight hundred".