1086520044960 has 288 divisors, whose sum is σ = 4239563328000. Its totient is φ = 248222306304.

The previous prime is 1086520044943. The next prime is 1086520044983. The reversal of 1086520044960 is 694400256801.

1086520044960 is a `hidden beast` number, since 1 + 0 + 86 + 520 + 0 + 4 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20768916 + ... + 20821164.

It is an arithmetic number, because the mean of its divisors is an integer number (14720706000).

Almost surely, 2^{1086520044960} is an apocalyptic number.

1086520044960 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 1086520044960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119781664000).

1086520044960 is an abundant number, since it is smaller than the sum of its proper divisors (3153043283040).

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

1086520044960 is a wasteful number, since it uses less digits than its factorization.

1086520044960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54340 (or 54329 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1086520044960 in words is "one trillion, eighty-six billion, five hundred twenty million, forty-four thousand, nine hundred sixty".