11028206246400 has 1440 divisors, whose sum is σ = 47734813526400. Its totient is φ = 2520489000960.

The previous prime is 11028206246399. The next prime is 11028206246537. The reversal of 11028206246400 is 464260282011.

11028206246400 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 8 + 2 + 0 + 6 + 2 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1066862032 + ... + 1066872368.

It is an arithmetic number, because the mean of its divisors is an integer number (33149176060).

Almost surely, 2^{11028206246400} is an apocalyptic number.

11028206246400 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 11028206246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23867406763200).

11028206246400 is an abundant number, since it is smaller than the sum of its proper divisors (36706607280000).

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

11028206246400 is an frugal number, since it uses more digits than its factorization.

11028206246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10401 (or 10354 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 11028206246400 in words is "eleven trillion, twenty-eight billion, two hundred six million, two hundred forty-six thousand, four hundred".