11865826000 has 160 divisors (see below), whose sum is σ = 33678058752. Its totient is φ = 3958156800.

The previous prime is 11865825973. The next prime is 11865826003. The reversal of 11865826000 is 62856811.

It is a super-3 number, since 3×11865826000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11865826003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506547 + ... + 529453.

Almost surely, 2^11865826000 is an apocalyptic number.

11865826000 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 11865826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16839029376).

11865826000 is an abundant number, since it is smaller than the sum of its proper divisors (21812232752).

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

11865826000 is a wasteful number, since it uses less digits than its factorization.

11865826000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22974 (or 22958 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

It can be divided in two parts, 11865 and 826000, that added together give a triangular number (837865 = T₁₂₉₄).

The spelling of 11865826000 in words is "eleven billion, eight hundred sixty-five million, eight hundred twenty-six thousand".