1086817017120 has 96 divisors (see below), whose sum is σ = 3432274896960. Its totient is φ = 289072788480.

The previous prime is 1086817017119. The next prime is 1086817017203. The reversal of 1086817017120 is 217107186801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1086817017120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2723566 + ... + 3097005.

It is an arithmetic number, because the mean of its divisors is an integer number (35752863510).

Almost surely, 2^{1086817017120} is an apocalyptic number.

1086817017120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1086817017120 is an abundant number, since it is smaller than the sum of its proper divisors (2345457879840).

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

1086817017120 is a wasteful number, since it uses less digits than its factorization.

1086817017120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820978 (or 5820970 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 42.

The spelling of 1086817017120 in words is "one trillion, eighty-six billion, eight hundred seventeen million, seventeen thousand, one hundred twenty".