13555958474240 has 1920 divisors, whose sum is σ = 44689699676160. Its totient is φ = 3896731238400.

The previous prime is 13555958474237. The next prime is 13555958474249. The reversal of 13555958474240 is 4247485955531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13555958474249) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103480598975 + ... + 103480599105.

It is an arithmetic number, because the mean of its divisors is an integer number (23275885248).

Almost surely, 2^{13555958474240} is an apocalyptic number.

13555958474240 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 13555958474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22344849838080).

13555958474240 is an abundant number, since it is smaller than the sum of its proper divisors (31133741201920).

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

13555958474240 is a wasteful number, since it uses less digits than its factorization.

13555958474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 62.

The spelling of 13555958474240 in words is "thirteen trillion, five hundred fifty-five billion, nine hundred fifty-eight million, four hundred seventy-four thousand, two hundred forty".