11287695002220 has 768 divisors, whose sum is σ = 44690005032960. Its totient is φ = 2300905958400.

The previous prime is 11287695002149. The next prime is 11287695002231. The reversal of 11287695002220 is 2220059678211.

11287695002220 is a `hidden beast` number, since 1 + 1 + 2 + 87 + 69 + 500 + 2 + 2 + 2 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 961221669 + ... + 961233411.

It is an arithmetic number, because the mean of its divisors is an integer number (58190110720).

Almost surely, 2^{11287695002220} is an apocalyptic number.

11287695002220 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 11287695002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22345002516480).

11287695002220 is an abundant number, since it is smaller than the sum of its proper divisors (33402310030740).

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

11287695002220 is a wasteful number, since it uses less digits than its factorization.

11287695002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12443 (or 12435 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11287695002220 in words is "eleven trillion, two hundred eighty-seven billion, six hundred ninety-five million, two thousand, two hundred twenty".