1086112821420 has 864 divisors, whose sum is σ = 3824303228928. Its totient is φ = 249080832000.

The previous prime is 1086112821413. The next prime is 1086112821421. The reversal of 1086112821420 is 241282116801.

1086112821420 is a `hidden beast` number, since 1 + 0 + 8 + 611 + 2 + 8 + 2 + 14 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1086112821421) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6917915982 + ... + 6917916138.

Almost surely, 2^{1086112821420} is an apocalyptic number.

1086112821420 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 1086112821420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912151614464).

1086112821420 is an abundant number, since it is smaller than the sum of its proper divisors (2738190407508).

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

1086112821420 is a wasteful number, since it uses less digits than its factorization.

1086112821420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 1086112821420 in words is "one trillion, eighty-six billion, one hundred twelve million, eight hundred twenty-one thousand, four hundred twenty".