1086846854400 has 756 divisors, whose sum is σ = 4052564694780. Its totient is φ = 288446054400.

The previous prime is 1086846854389. The next prime is 1086846854411. The reversal of 1086846854400 is 44586486801.

It is a happy number.

1086846854400 is a `hidden beast` number, since 1 + 0 + 86 + 8 + 46 + 85 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1086846854389) and next prime (1086846854411).

It can be written as a sum of positive squares in 6 ways, for example, as 215737344 + 1086631117056 = 14688^2 + 1042416^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1311033186 + ... + 1311034014.

Almost surely, 2^{1086846854400} is an apocalyptic number.

1086846854400 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 1086846854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026282347390).

1086846854400 is an abundant number, since it is smaller than the sum of its proper divisors (2965717840380).

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

1086846854400 is an frugal number, since it uses more digits than its factorization.

1086846854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 1086846854400 in words is "one trillion, eighty-six billion, eight hundred forty-six million, eight hundred fifty-four thousand, four hundred".