13555042560 has 324 divisors, whose sum is σ = 48106772532. Its totient is φ = 3522674688.

The previous prime is 13555042549. The next prime is 13555042573. The reversal of 13555042560 is 6524055531.

13555042560 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 50 + 42 + 560 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1984167936 + 11570874624 = 44544^2 + 107568^2 .

It is a super-2 number, since 2×13555042560² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90973366 + ... + 90973514.

It is an arithmetic number, because the mean of its divisors is an integer number (148477693).

Almost surely, 2^13555042560 is an apocalyptic number.

13555042560 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 13555042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24053386266).

13555042560 is an abundant number, since it is smaller than the sum of its proper divisors (34551729972).

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

13555042560 is an equidigital number, since it uses as much as digits as its factorization.

13555042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 13555042560 in words is "thirteen billion, five hundred fifty-five million, forty-two thousand, five hundred sixty".