13555261440 has 896 divisors, whose sum is σ = 58884433920. Its totient is φ = 2887778304.

The previous prime is 13555261427. The next prime is 13555261459. The reversal of 13555261440 is 4416255531.

13555261440 is a `hidden beast` number, since 1 + 3 + 5 + 552 + 61 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×13555261440² (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 junction number, because it is equal to n+sod(n) for n = 13555261395 and 13555261404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131604429 + ... + 131604531.

Almost surely, 2^13555261440 is an apocalyptic number.

13555261440 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 13555261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29442216960).

13555261440 is an abundant number, since it is smaller than the sum of its proper divisors (45329172480).

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

13555261440 is a wasteful number, since it uses less digits than its factorization.

13555261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 13555261440 in words is "thirteen billion, five hundred fifty-five million, two hundred sixty-one thousand, four hundred forty".