1086989466960 has 120 divisors (see below), whose sum is σ = 3865206706920. Its totient is φ = 272813039616.

The previous prime is 1086989466859. The next prime is 1086989466967. The reversal of 1086989466960 is 696649896801.

1086989466960 is a `hidden beast` number, since 1 + 0 + 86 + 9 + 89 + 466 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 188421973776 + 898567493184 = 434076^2 + 947928^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1086989466960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086989466967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44390925 + ... + 44415404.

It is an arithmetic number, because the mean of its divisors is an integer number (32210055891).

Almost surely, 2^{1086989466960} is an apocalyptic number.

1086989466960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1086989466960 is an abundant number, since it is smaller than the sum of its proper divisors (2778217239960).

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

1086989466960 is a wasteful number, since it uses less digits than its factorization.

1086989466960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88806365 (or 88806356 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 1086989466960 in words is "one trillion, eighty-six billion, nine hundred eighty-nine million, four hundred sixty-six thousand, nine hundred sixty".