13577550480 has 800 divisors, whose sum is σ = 56715120000. Its totient is φ = 2974040064.

The previous prime is 13577550473. The next prime is 13577550487. The reversal of 13577550480 is 8405577531.

It is a happy number.

13577550480 is a `hidden beast` number, since 1 + 3 + 57 + 7 + 550 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13577550473) and next prime (13577550487).

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 (13577550487) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27209271 + ... + 27209769.

It is an arithmetic number, because the mean of its divisors is an integer number (70893900).

Almost surely, 2^13577550480 is an apocalyptic number.

13577550480 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 13577550480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28357560000).

13577550480 is an abundant number, since it is smaller than the sum of its proper divisors (43137569520).

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

13577550480 is a wasteful number, since it uses less digits than its factorization.

13577550480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 13577550480 in words is "thirteen billion, five hundred seventy-seven million, five hundred fifty thousand, four hundred eighty".