11820265410 has 64 divisors (see below), whose sum is σ = 30065904000. Its totient is φ = 2963837952.

The previous prime is 11820265403. The next prime is 11820265417. The reversal of 11820265410 is 1456202811.

It is an interprime number because it is at equal distance from previous prime (11820265403) and next prime (11820265417).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11820265417) 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, 555141 + ... + 576039.

It is an arithmetic number, because the mean of its divisors is an integer number (469779750).

Almost surely, 2^11820265410 is an apocalyptic number.

11820265410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11820265410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15032952000).

11820265410 is an abundant number, since it is smaller than the sum of its proper divisors (18245638590).

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

11820265410 is a wasteful number, since it uses less digits than its factorization.

11820265410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22035.

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 11820265410 in words is "eleven billion, eight hundred twenty million, two hundred sixty-five thousand, four hundred ten".