11865672000 has 672 divisors, whose sum is σ = 52269444864. Its totient is φ = 2502144000.

The previous prime is 11865671999. The next prime is 11865672031. The reversal of 11865672000 is 27656811.

11865672000 is a `hidden beast` number, since 11 + 86 + 567 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×11865672000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6551095 + ... + 6552905.

It is an arithmetic number, because the mean of its divisors is an integer number (77781912).

Almost surely, 2^11865672000 is an apocalyptic number.

11865672000 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 11865672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26134722432).

11865672000 is an abundant number, since it is smaller than the sum of its proper divisors (40403772864).

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

11865672000 is a wasteful number, since it uses less digits than its factorization.

11865672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

It can be divided in two parts, 11865 and 672000, that added together give a triangular number (683865 = T₁₁₆₉).

The spelling of 11865672000 in words is "eleven billion, eight hundred sixty-five million, six hundred seventy-two thousand".