13541039118600 has 384 divisors, whose sum is σ = 52240263552000. Its totient is φ = 2831084282880.

The previous prime is 13541039118587. The next prime is 13541039118617. The reversal of 13541039118600 is 681193014531.

It is a super-2 number, since 2×13541039118600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 611442 + ... + 5239841.

It is an arithmetic number, because the mean of its divisors is an integer number (136042353000).

Almost surely, 2^{13541039118600} is an apocalyptic number.

13541039118600 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 13541039118600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26120131776000).

13541039118600 is an abundant number, since it is smaller than the sum of its proper divisors (38699224433400).

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

13541039118600 is a wasteful number, since it uses less digits than its factorization.

13541039118600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851357 (or 5851348 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 13541039118600 in words is "thirteen trillion, five hundred forty-one billion, thirty-nine million, one hundred eighteen thousand, six hundred".