11736330896720 has 80 divisors (see below), whose sum is σ = 27597042247680. Its totient is φ = 4641199782912.

The previous prime is 11736330896701. The next prime is 11736330896729. The reversal of 11736330896720 is 2769803363711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11736330896729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58732817 + ... + 58932303.

It is an arithmetic number, because the mean of its divisors is an integer number (344963028096).

Almost surely, 2^{11736330896720} is an apocalyptic number.

11736330896720 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 11736330896720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13798521123840).

11736330896720 is an abundant number, since it is smaller than the sum of its proper divisors (15860711350960).

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

11736330896720 is a wasteful number, since it uses less digits than its factorization.

11736330896720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207852 (or 207846 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 56.

The spelling of 11736330896720 in words is "eleven trillion, seven hundred thirty-six billion, three hundred thirty million, eight hundred ninety-six thousand, seven hundred twenty".