11200809984 has 352 divisors, whose sum is σ = 37195791360. Its totient is φ = 2917859328.

The previous prime is 11200809943. The next prime is 11200810021. The reversal of 11200809984 is 48990800211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28793662 + ... + 28794050.

Almost surely, 2^11200809984 is an apocalyptic number.

11200809984 is a gapful number since it is divisible by the number (14) 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 11200809984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18597895680).

11200809984 is an abundant number, since it is smaller than the sum of its proper divisors (25994981376).

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

11200809984 is a wasteful number, since it uses less digits than its factorization.

11200809984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 11200809984 in words is "eleven billion, two hundred million, eight hundred nine thousand, nine hundred eighty-four".