12177546480 has 720 divisors, whose sum is σ = 48408901632. Its totient is φ = 2839795200.

The previous prime is 12177546473. The next prime is 12177546503. The reversal of 12177546480 is 8464577121.

12177546480 is a `hidden beast` number, since 1 + 21 + 7 + 7 + 546 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72919357 + ... + 72919523.

Almost surely, 2^12177546480 is an apocalyptic number.

12177546480 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 12177546480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24204450816).

12177546480 is an abundant number, since it is smaller than the sum of its proper divisors (36231355152).

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

12177546480 is a wasteful number, since it uses less digits than its factorization.

12177546480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 12177546480 in words is "twelve billion, one hundred seventy-seven million, five hundred forty-six thousand, four hundred eighty".