11927472480 has 768 divisors, whose sum is σ = 54344908800. Its totient is φ = 2369157120.

The previous prime is 11927472463. The next prime is 11927472521. The reversal of 11927472480 is 8427472911.

11927472480 is a `hidden beast` number, since 11 + 92 + 7 + 4 + 72 + 480 = 666.

11927472480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11927472480² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7649941 + ... + 7651499.

It is an arithmetic number, because the mean of its divisors is an integer number (70761600).

Almost surely, 2^11927472480 is an apocalyptic number.

11927472480 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 11927472480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27172454400).

11927472480 is an abundant number, since it is smaller than the sum of its proper divisors (42417436320).

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

11927472480 is a wasteful number, since it uses less digits than its factorization.

11927472480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 11927472480 in words is "eleven billion, nine hundred twenty-seven million, four hundred seventy-two thousand, four hundred eighty".