11720332736400 has 120 divisors (see below), whose sum is σ = 37686886902720. Its totient is φ = 3113538245120.

The previous prime is 11720332736389. The next prime is 11720332736449. The reversal of 11720332736400 is 463723302711.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18252735 + ... + 18883934.

It is an arithmetic number, because the mean of its divisors is an integer number (314057390856).

Almost surely, 2^{11720332736400} is an apocalyptic number.

11720332736400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11720332736400 is an abundant number, since it is smaller than the sum of its proper divisors (25966554166320).

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

11720332736400 is a wasteful number, since it uses less digits than its factorization.

11720332736400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37136953 (or 37136942 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 11720332736400 in words is "eleven trillion, seven hundred twenty billion, three hundred thirty-two million, seven hundred thirty-six thousand, four hundred".