11686467072 has 480 divisors, whose sum is σ = 38916294912. Its totient is φ = 3099672576.

The previous prime is 11686467061. The next prime is 11686467083. The reversal of 11686467072 is 27076468611.

It is an interprime number because it is at equal distance from previous prime (11686467061) and next prime (11686467083).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74436018 + ... + 74436174.

Almost surely, 2^11686467072 is an apocalyptic number.

11686467072 is a gapful number since it is divisible by the number (12) 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 11686467072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458147456).

11686467072 is an abundant number, since it is smaller than the sum of its proper divisors (27229827840).

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

11686467072 is a wasteful number, since it uses less digits than its factorization.

11686467072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 11686467072 in words is "eleven billion, six hundred eighty-six million, four hundred sixty-seven thousand, seventy-two".