11720916480 has 640 divisors, whose sum is σ = 47692947456. Its totient is φ = 2388787200.

The previous prime is 11720916461. The next prime is 11720916497. The reversal of 11720916480 is 8461902711.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×11720916480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21665010 + ... + 21665550.

Almost surely, 2^11720916480 is an apocalyptic number.

11720916480 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 11720916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23846473728).

11720916480 is an abundant number, since it is smaller than the sum of its proper divisors (35972030976).

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

11720916480 is a wasteful number, since it uses less digits than its factorization.

11720916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 11720916480 in words is "eleven billion, seven hundred twenty million, nine hundred sixteen thousand, four hundred eighty".