13542607849878 has 192 divisors, whose sum is σ = 32192461022400. Its totient is φ = 4214880230400.

The previous prime is 13542607849877. The next prime is 13542607849987. The reversal of 13542607849878 is 87894870624531.

It is a happy number.

13542607849878 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 2 + 60 + 7 + 8 + 498 + 78 = 666.

It is a super-3 number, since 3×13542607849878³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13542607849877) by changing a digit.

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, 2969216718 + ... + 2969221278.

It is an arithmetic number, because the mean of its divisors is an integer number (167669067825).

It is a 1-persistent number, because it is pandigital, but 2⋅13542607849878 = 27085215699756 is not.

Almost surely, 2^{13542607849878} is an apocalyptic number.

13542607849878 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13542607849878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16096230511200).

13542607849878 is an abundant number, since it is smaller than the sum of its proper divisors (18649853172522).

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

13542607849878 is a wasteful number, since it uses less digits than its factorization.

13542607849878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6636 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 13542607849878 in words is "thirteen trillion, five hundred forty-two billion, six hundred seven million, eight hundred forty-nine thousand, eight hundred seventy-eight".