11721351264 has 192 divisors, whose sum is σ = 37109560320. Its totient is φ = 3166986240.

The previous prime is 11721351253. The next prime is 11721351269. The reversal of 11721351264 is 46215312711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11721351269) 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, 1371324 + ... + 1379844.

It is an arithmetic number, because the mean of its divisors is an integer number (193278960).

Almost surely, 2^11721351264 is an apocalyptic number.

11721351264 is a gapful number since it is divisible by the number (14) 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 11721351264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18554780160).

11721351264 is an abundant number, since it is smaller than the sum of its proper divisors (25388209056).

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

11721351264 is a wasteful number, since it uses less digits than its factorization.

11721351264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8653 (or 8645 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

Adding to 11721351264 its reverse (46215312711), we get a palindrome (57936663975).

The spelling of 11721351264 in words is "eleven billion, seven hundred twenty-one million, three hundred fifty-one thousand, two hundred sixty-four".