13555630080 has 384 divisors, whose sum is σ = 48765904200. Its totient is φ = 3479175168.

The previous prime is 13555630069. The next prime is 13555630091. The reversal of 13555630080 is 8003655531.

13555630080 is a `hidden beast` number, since 13 + 5 + 5 + 5 + 630 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13555630069) and next prime (13555630091).

It can be written as a sum of positive squares in 4 ways, for example, as 7598260224 + 5957369856 = 87168^2 + 77184^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42762082 + ... + 42762398.

Almost surely, 2^13555630080 is an apocalyptic number.

13555630080 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 13555630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24382952100).

13555630080 is an abundant number, since it is smaller than the sum of its proper divisors (35210274120).

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

13555630080 is an equidigital number, since it uses as much as digits as its factorization.

13555630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 13555630080 in words is "thirteen billion, five hundred fifty-five million, six hundred thirty thousand, eighty".