10827401704800 has 144 divisors (see below), whose sum is σ = 35248521450240. Its totient is φ = 2886870551040.

The previous prime is 10827401704789. The next prime is 10827401704817. The reversal of 10827401704800 is 840710472801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15691869 + ... + 16367331.

It is an arithmetic number, because the mean of its divisors is an integer number (244781398960).

Almost surely, 2^{10827401704800} is an apocalyptic number.

10827401704800 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 10827401704800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17624260725120).

10827401704800 is an abundant number, since it is smaller than the sum of its proper divisors (24421119745440).

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

10827401704800 is a wasteful number, since it uses less digits than its factorization.

10827401704800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682165 (or 682152 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The spelling of 10827401704800 in words is "ten trillion, eight hundred twenty-seven billion, four hundred one million, seven hundred four thousand, eight hundred".