11288964022400 has 96 divisors (see below), whose sum is σ = 29527696663380. Its totient is φ = 4249962905600.

The previous prime is 11288964022397. The next prime is 11288964022403. The reversal of 11288964022400 is 422046988211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11288964022397) and next prime (11288964022403).

It can be written as a sum of positive squares in 6 ways, for example, as 2171897797696 + 9117066224704 = 1473736^2 + 3019448^2 .

It is a hoax number, since the sum of its digits (47) 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 (11288964022403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103704461 + ... + 103813260.

Almost surely, 2^{11288964022400} is an apocalyptic number.

11288964022400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11288964022400 is an abundant number, since it is smaller than the sum of its proper divisors (18238732640980).

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

11288964022400 is a wasteful number, since it uses less digits than its factorization.

11288964022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207517762 (or 207517745 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The spelling of 11288964022400 in words is "eleven trillion, two hundred eighty-eight billion, nine hundred sixty-four million, twenty-two thousand, four hundred".