11667771360 has 576 divisors, whose sum is σ = 48335519232. Its totient is φ = 2602285056.

The previous prime is 11667771331. The next prime is 11667771373. The reversal of 11667771360 is 6317776611.

It is a super-2 number, since 2×11667771360² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11702382 + ... + 11703378.

It is an arithmetic number, because the mean of its divisors is an integer number (83915832).

Almost surely, 2^11667771360 is an apocalyptic number.

11667771360 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 11667771360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24167759616).

11667771360 is an abundant number, since it is smaller than the sum of its proper divisors (36667747872).

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

11667771360 is an equidigital number, since it uses as much as digits as its factorization.

11667771360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 11667771360 in words is "eleven billion, six hundred sixty-seven million, seven hundred seventy-one thousand, three hundred sixty".