11721516400 has 120 divisors (see below), whose sum is σ = 30758888448. Its totient is φ = 4257120000.

The previous prime is 11721516397. The next prime is 11721516413. The reversal of 11721516400 is 461512711.

It is a congruent number.

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, 6471495 + ... + 6473305.

Almost surely, 2^11721516400 is an apocalyptic number.

11721516400 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 11721516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15379444224).

11721516400 is an abundant number, since it is smaller than the sum of its proper divisors (19037372048).

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

11721516400 is a wasteful number, since it uses less digits than its factorization.

11721516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The spelling of 11721516400 in words is "eleven billion, seven hundred twenty-one million, five hundred sixteen thousand, four hundred".