11766864060 has 192 divisors, whose sum is σ = 43187773440. Its totient is φ = 2602782720.

The previous prime is 11766864017. The next prime is 11766864077. The reversal of 11766864060 is 6046866711.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 11766863997 and 11766864015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66972 + ... + 167388.

It is an arithmetic number, because the mean of its divisors is an integer number (224936320).

Almost surely, 2^11766864060 is an apocalyptic number.

11766864060 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 11766864060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21593886720).

11766864060 is an abundant number, since it is smaller than the sum of its proper divisors (31420909380).

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

11766864060 is a wasteful number, since it uses less digits than its factorization.

11766864060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100473 (or 100465 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

It can be divided in two parts, 11766 and 864060, that added together give a triangular number (875826 = T₁₃₂₃).

The spelling of 11766864060 in words is "eleven billion, seven hundred sixty-six million, eight hundred sixty-four thousand, sixty".