11065422772800 has 504 divisors, whose sum is σ = 42946748500032. Its totient is φ = 2679885312000.

The previous prime is 11065422772777. The next prime is 11065422772823. The reversal of 11065422772800 is 827722456011.

11065422772800 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 542 + 27 + 7 + 2 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11065422772777) and next prime (11065422772823).

It is a super-2 number, since 2×11065422772800² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163276522 + ... + 163344278.

Almost surely, 2^{11065422772800} is an apocalyptic number.

11065422772800 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 11065422772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21473374250016).

11065422772800 is an abundant number, since it is smaller than the sum of its proper divisors (31881325727232).

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

11065422772800 is a wasteful number, since it uses less digits than its factorization.

11065422772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68827 (or 68809 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 11065422772800 in words is "eleven trillion, sixty-five billion, four hundred twenty-two million, seven hundred seventy-two thousand, eight hundred".