1086461856480 has 768 divisors, whose sum is σ = 4601355558912. Its totient is φ = 208106496000.

The previous prime is 1086461856457. The next prime is 1086461856539. The reversal of 1086461856480 is 846581646801.

It is a self number, because there is not a number n which added to its sum of digits gives 1086461856480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 562641115 + ... + 562643045.

It is an arithmetic number, because the mean of its divisors is an integer number (5991348384).

Almost surely, 2^{1086461856480} is an apocalyptic number.

1086461856480 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 1086461856480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300677779456).

1086461856480 is an abundant number, since it is smaller than the sum of its proper divisors (3514893702432).

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

1086461856480 is a wasteful number, since it uses less digits than its factorization.

1086461856480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 1086461856480 in words is "one trillion, eighty-six billion, four hundred sixty-one million, eight hundred fifty-six thousand, four hundred eighty".