13542039347760 has 4800 divisors, whose sum is σ = 66206962483200. Its totient is φ = 2500388352000.

The previous prime is 13542039347737. The next prime is 13542039347777. The reversal of 13542039347760 is 6774393024531.

13542039347760 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 20 + 3 + 93 + 477 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13542039347697 and 13542039347706.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 190732948525 + ... + 190732948595.

It is an arithmetic number, because the mean of its divisors is an integer number (13793117184).

Almost surely, 2^{13542039347760} is an apocalyptic number.

13542039347760 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 13542039347760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33103481241600).

13542039347760 is an abundant number, since it is smaller than the sum of its proper divisors (52664923135440).

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

13542039347760 is a wasteful number, since it uses less digits than its factorization.

13542039347760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 13542039347760 in words is "thirteen trillion, five hundred forty-two billion, thirty-nine million, three hundred forty-seven thousand, seven hundred sixty".