11685892680 has 640 divisors, whose sum is σ = 50582568960. Its totient is φ = 2348352000.

The previous prime is 11685892637. The next prime is 11685892723. The reversal of 11685892680 is 8629858611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11685892637) and next prime (11685892723).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7733125 + ... + 7734635.

It is an arithmetic number, because the mean of its divisors is an integer number (79035264).

Almost surely, 2^11685892680 is an apocalyptic number.

11685892680 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 11685892680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25291284480).

11685892680 is an abundant number, since it is smaller than the sum of its proper divisors (38896676280).

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

11685892680 is a wasteful number, since it uses less digits than its factorization.

11685892680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 11685892680 in words is "eleven billion, six hundred eighty-five million, eight hundred ninety-two thousand, six hundred eighty".