11535879780 has 144 divisors (see below), whose sum is σ = 35589310848. Its totient is φ = 3024000000.

The previous prime is 11535879779. The next prime is 11535879787. The reversal of 11535879780 is 8797853511.

It is a happy number.

11535879780 is a `hidden beast` number, since 1 + 1 + 53 + 587 + 9 + 7 + 8 + 0 = 666.

It is a super-2 number, since 2×11535879780² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11535879787) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5123655 + ... + 5125905.

It is an arithmetic number, because the mean of its divisors is an integer number (247147992).

Almost surely, 2^11535879780 is an apocalyptic number.

11535879780 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 11535879780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17794655424).

11535879780 is an abundant number, since it is smaller than the sum of its proper divisors (24053431068).

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

11535879780 is a wasteful number, since it uses less digits than its factorization.

11535879780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 11535879780 in words is "eleven billion, five hundred thirty-five million, eight hundred seventy-nine thousand, seven hundred eighty".