1086420335616 has 1320 divisors, whose sum is σ = 4337098444800. Its totient is φ = 267126128640.

The previous prime is 1086420335603. The next prime is 1086420335653. The reversal of 1086420335616 is 6165330246801.

1086420335616 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 4 + 20 + 3 + 3 + 5 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 849428865 + ... + 849430143.

It is an arithmetic number, because the mean of its divisors is an integer number (3285680640).

Almost surely, 2^{1086420335616} is an apocalyptic number.

1086420335616 is a gapful number since it is divisible by the number (16) 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 1086420335616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168549222400).

1086420335616 is an abundant number, since it is smaller than the sum of its proper divisors (3250678109184).

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

1086420335616 is a wasteful number, since it uses less digits than its factorization.

1086420335616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1086420335616 in words is "one trillion, eighty-six billion, four hundred twenty million, three hundred thirty-five thousand, six hundred sixteen".