11865046618920 has 768 divisors, whose sum is σ = 42873795901440. Its totient is φ = 2613067776000.

The previous prime is 11865046618891. The next prime is 11865046618933. The reversal of 11865046618920 is 2981664056811.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3313331530 + ... + 3313335110.

It is an arithmetic number, because the mean of its divisors is an integer number (55825255080).

Almost surely, 2^{11865046618920} is an apocalyptic number.

11865046618920 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 11865046618920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21436897950720).

11865046618920 is an abundant number, since it is smaller than the sum of its proper divisors (31008749282520).

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

11865046618920 is a wasteful number, since it uses less digits than its factorization.

11865046618920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 11865046618920 in words is "eleven trillion, eight hundred sixty-five billion, forty-six million, six hundred eighteen thousand, nine hundred twenty".