11986260000 has 720 divisors, whose sum is σ = 46907384832. Its totient is φ = 2661120000.

The previous prime is 11986259983. The next prime is 11986260047. The reversal of 11986260000 is 6268911.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 94379937 + ... + 94380063.

Almost surely, 2^11986260000 is an apocalyptic number.

11986260000 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 11986260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23453692416).

11986260000 is an abundant number, since it is smaller than the sum of its proper divisors (34921124832).

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

11986260000 is a wasteful number, since it uses less digits than its factorization.

11986260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 11986260000 in words is "eleven billion, nine hundred eighty-six million, two hundred sixty thousand".