11715554880 has 196 divisors, whose sum is σ = 41828196252. Its totient is φ = 3124085760.

The previous prime is 11715554849. The next prime is 11715554887. The reversal of 11715554880 is 8845551711.

11715554880 is a `hidden beast` number, since 1 + 1 + 7 + 15 + 554 + 8 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2846435904 + 8869118976 = 53352^2 + 94176^2 .

It is a super-2 number, since 2×11715554880² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11715554887) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 208170 + ... + 258390.

Almost surely, 2^11715554880 is an apocalyptic number.

11715554880 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 11715554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20914098126).

11715554880 is an abundant number, since it is smaller than the sum of its proper divisors (30112641372).

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

11715554880 is an frugal number, since it uses more digits than its factorization.

11715554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50256 (or 50231 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 45.

The spelling of 11715554880 in words is "eleven billion, seven hundred fifteen million, five hundred fifty-four thousand, eight hundred eighty".