11819840580 has 288 divisors, whose sum is σ = 39943507968. Its totient is φ = 2815488000.

The previous prime is 11819840537. The next prime is 11819840639. The reversal of 11819840580 is 8504891811.

11819840580 is a `hidden beast` number, since 1 + 1 + 81 + 98 + 405 + 80 = 666.

It is a super-2 number, since 2×11819840580² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5026405 + ... + 5028755.

It is an arithmetic number, because the mean of its divisors is an integer number (138692736).

Almost surely, 2^11819840580 is an apocalyptic number.

11819840580 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 11819840580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19971753984).

11819840580 is an abundant number, since it is smaller than the sum of its proper divisors (28123667388).

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

11819840580 is a wasteful number, since it uses less digits than its factorization.

11819840580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 11819840580 in words is "eleven billion, eight hundred nineteen million, eight hundred forty thousand, five hundred eighty".