10728183866400 has 8064 divisors, whose sum is σ = 59490368372736. Its totient is φ = 1813089484800.

The previous prime is 10728183866369. The next prime is 10728183866419. The reversal of 10728183866400 is 466838182701.

10728183866400 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 81 + 83 + 86 + 6 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 228259231177 + ... + 228259231223.

It is an arithmetic number, because the mean of its divisors is an integer number (7377277824).

Almost surely, 2^{10728183866400} is an apocalyptic number.

10728183866400 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 10728183866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29745184186368).

10728183866400 is an abundant number, since it is smaller than the sum of its proper divisors (48762184506336).

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

10728183866400 is a wasteful number, since it uses less digits than its factorization.

10728183866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 10728183866400 in words is "ten trillion, seven hundred twenty-eight billion, one hundred eighty-three million, eight hundred sixty-six thousand, four hundred".