11667767202 has 256 divisors, whose sum is σ = 33288192000. Its totient is φ = 3008819520.

The previous prime is 11667767173. The next prime is 11667767231. The reversal of 11667767202 is 20276776611.

It is an interprime number because it is at equal distance from previous prime (11667767173) and next prime (11667767231).

It is a super-2 number, since 2×11667767202² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11316427 + ... + 11317457.

It is an arithmetic number, because the mean of its divisors is an integer number (130032000).

Almost surely, 2^11667767202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11667767202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16644096000).

11667767202 is an abundant number, since it is smaller than the sum of its proper divisors (21620424798).

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

11667767202 is a wasteful number, since it uses less digits than its factorization.

11667767202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 11667767202 in words is "eleven billion, six hundred sixty-seven million, seven hundred sixty-seven thousand, two hundred two".