13555004400 has 960 divisors, whose sum is σ = 59781888000. Its totient is φ = 2846638080.

The previous prime is 13555004389. The next prime is 13555004429. The reversal of 13555004400 is 440055531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68115501 + ... + 68115699.

It is an arithmetic number, because the mean of its divisors is an integer number (62272800).

Almost surely, 2^13555004400 is an apocalyptic number.

13555004400 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 13555004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29890944000).

13555004400 is an abundant number, since it is smaller than the sum of its proper divisors (46226883600).

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

13555004400 is a wasteful number, since it uses less digits than its factorization.

13555004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 13555004400 its reverse (440055531), we get a palindrome (13995059931).

The spelling of 13555004400 in words is "thirteen billion, five hundred fifty-five million, four thousand, four hundred".