13504541400 has 192 divisors, whose sum is σ = 53160883200. Its totient is φ = 3086743680.

The previous prime is 13504541387. The next prime is 13504541437. The reversal of 13504541400 is 414540531.

It is a happy number.

13504541400 is a `hidden beast` number, since 13 + 504 + 5 + 4 + 140 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140832 + ... + 216431.

It is an arithmetic number, because the mean of its divisors is an integer number (276879600).

Almost surely, 2^13504541400 is an apocalyptic number.

13504541400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13504541400 is an abundant number, since it is smaller than the sum of its proper divisors (39656341800).

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

13504541400 is a wasteful number, since it uses less digits than its factorization.

13504541400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357295 (or 357280 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

It can be divided in two parts, 1350 and 4541400, that multiplied together give a square (6130890000 = 78300²).

The spelling of 13504541400 in words is "thirteen billion, five hundred four million, five hundred forty-one thousand, four hundred".