11867059872 has 240 divisors, whose sum is σ = 36012271680. Its totient is φ = 3831763968.

The previous prime is 11867059859. The next prime is 11867059903. The reversal of 11867059872 is 27895076811.

It is a super-2 number, since 2×11867059872² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11163213 + ... + 11164275.

It is an arithmetic number, because the mean of its divisors is an integer number (150051132).

Almost surely, 2^11867059872 is an apocalyptic number.

11867059872 is a gapful number since it is divisible by the number (12) 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 11867059872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18006135840).

11867059872 is an abundant number, since it is smaller than the sum of its proper divisors (24145211808).

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

11867059872 is a wasteful number, since it uses less digits than its factorization.

11867059872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 11867059872 in words is "eleven billion, eight hundred sixty-seven million, fifty-nine thousand, eight hundred seventy-two".