11220501777408 has 792 divisors, whose sum is σ = 42489124566000. Its totient is φ = 2914373468160.

The previous prime is 11220501777403. The next prime is 11220501777427. The reversal of 11220501777408 is 80477710502211.

It is a happy number.

11220501777408 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 0 + 501 + 77 + 74 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11220501777403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163890768 + ... + 163959216.

Almost surely, 2^{11220501777408} is an apocalyptic number.

11220501777408 is a gapful number since it is divisible by the number (18) 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 11220501777408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244562283000).

11220501777408 is an abundant number, since it is smaller than the sum of its proper divisors (31268622788592).

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

11220501777408 is a wasteful number, since it uses less digits than its factorization.

11220501777408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68514 (or 68472 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 11220501777408 in words is "eleven trillion, two hundred twenty billion, five hundred one million, seven hundred seventy-seven thousand, four hundred eight".