11872006670860 has 192 divisors, whose sum is σ = 30327629665536. Its totient is φ = 3810852864000.

The previous prime is 11872006670801. The next prime is 11872006670861. The reversal of 11872006670860 is 6807660027811.

It is a junction number, because it is equal to n+sod(n) for n = 11872006670798 and 11872006670807.

It is not an unprimeable number, because it can be changed into a prime (11872006670861) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 401922012 + ... + 401951548.

It is an arithmetic number, because the mean of its divisors is an integer number (157956404508).

Almost surely, 2^{11872006670860} is an apocalyptic number.

11872006670860 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 11872006670860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163814832768).

11872006670860 is an abundant number, since it is smaller than the sum of its proper divisors (18455622994676).

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

11872006670860 is a wasteful number, since it uses less digits than its factorization.

11872006670860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30452 (or 30450 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 11872006670860 in words is "eleven trillion, eight hundred seventy-two billion, six million, six hundred seventy thousand, eight hundred sixty".