1086713971200 has 1440 divisors, whose sum is σ = 4723968480000. Its totient is φ = 243059097600.

The previous prime is 1086713971163. The next prime is 1086713971201. The reversal of 1086713971200 is 21793176801.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (1086713971201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 543627801 + ... + 543629799.

Almost surely, 2^{1086713971200} is an apocalyptic number.

1086713971200 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 1086713971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361984240000).

1086713971200 is an abundant number, since it is smaller than the sum of its proper divisors (3637254508800).

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

1086713971200 is a wasteful number, since it uses less digits than its factorization.

1086713971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 1086713971200 in words is "one trillion, eighty-six billion, seven hundred thirteen million, nine hundred seventy-one thousand, two hundred".