11811672700 has 72 divisors (see below), whose sum is σ = 26507303424. Its totient is φ = 4563768000.

The previous prime is 11811672667. The next prime is 11811672703. The reversal of 11811672700 is 727611811.

It is a super-2 number, since 2×11811672700² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11811672703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1816455 + ... + 1822945.

It is an arithmetic number, because the mean of its divisors is an integer number (368156992).

Almost surely, 2^11811672700 is an apocalyptic number.

11811672700 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 11811672700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13253651712).

11811672700 is an abundant number, since it is smaller than the sum of its proper divisors (14695630724).

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

11811672700 is a wasteful number, since it uses less digits than its factorization.

11811672700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7123 (or 7116 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 34.

The spelling of 11811672700 in words is "eleven billion, eight hundred eleven million, six hundred seventy-two thousand, seven hundred".