11199254301840 has 320 divisors, whose sum is σ = 39548303032320. Its totient is φ = 2595103610880.

The previous prime is 11199254301839. The next prime is 11199254301883. The reversal of 11199254301840 is 4810345299111.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11199254301840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87311994 + ... + 87440166.

It is an arithmetic number, because the mean of its divisors is an integer number (123588446976).

Almost surely, 2^{11199254301840} is an apocalyptic number.

11199254301840 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 11199254301840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19774151516160).

11199254301840 is an abundant number, since it is smaller than the sum of its proper divisors (28349048730480).

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

11199254301840 is a wasteful number, since it uses less digits than its factorization.

11199254301840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129662 (or 129656 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 11199254301840 in words is "eleven trillion, one hundred ninety-nine billion, two hundred fifty-four million, three hundred one thousand, eight hundred forty".