11216900897280 has 2880 divisors, whose sum is σ = 49350073893120. Its totient is φ = 2321688821760.

The previous prime is 11216900897183. The next prime is 11216900897341. The reversal of 11216900897280 is 8279800961211.

It is a happy number.

11216900897280 is a `hidden beast` number, since 112 + 169 + 0 + 0 + 8 + 97 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×11216900897280² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 157984519645 + ... + 157984519715.

It is an arithmetic number, because the mean of its divisors is an integer number (17135442324).

Almost surely, 2^{11216900897280} is an apocalyptic number.

11216900897280 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 11216900897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675036946560).

11216900897280 is an abundant number, since it is smaller than the sum of its proper divisors (38133172995840).

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

11216900897280 is a wasteful number, since it uses less digits than its factorization.

11216900897280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 11216900897280 in words is "eleven trillion, two hundred sixteen billion, nine hundred million, eight hundred ninety-seven thousand, two hundred eighty".