10827665020800 has 960 divisors, whose sum is σ = 41345012797440. Its totient is φ = 2787490713600.

The previous prime is 10827665020729. The next prime is 10827665020819. The reversal of 10827665020800 is 802056672801.

10827665020800 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 7 + 66 + 502 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 3913141017 + ... + 3913143783.

It is an arithmetic number, because the mean of its divisors is an integer number (43067721664).

Almost surely, 2^{10827665020800} is an apocalyptic number.

10827665020800 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 10827665020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20672506398720).

10827665020800 is an abundant number, since it is smaller than the sum of its proper divisors (30517347776640).

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

10827665020800 is a wasteful number, since it uses less digits than its factorization.

10827665020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10827665020800 in words is "ten trillion, eight hundred twenty-seven billion, six hundred sixty-five million, twenty thousand, eight hundred".