11875783815460 has 96 divisors (see below), whose sum is σ = 25962071063040. Its totient is φ = 4557550136832.

The previous prime is 11875783815419. The next prime is 11875783815463. The reversal of 11875783815460 is 6451838757811.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11875783815392 and 11875783815401.

It is not an unprimeable number, because it can be changed into a prime (11875783815463) 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, 921096774 + ... + 921109666.

It is an arithmetic number, because the mean of its divisors is an integer number (270438240240).

Almost surely, 2^{11875783815460} is an apocalyptic number.

11875783815460 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 11875783815460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12981035531520).

11875783815460 is an abundant number, since it is smaller than the sum of its proper divisors (14086287247580).

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

11875783815460 is a wasteful number, since it uses less digits than its factorization.

11875783815460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22837 (or 22835 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 64.

The spelling of 11875783815460 in words is "eleven trillion, eight hundred seventy-five billion, seven hundred eighty-three million, eight hundred fifteen thousand, four hundred sixty".