13765078568000 has 224 divisors, whose sum is σ = 36113827602528. Its totient is φ = 5179367424000.

The previous prime is 13765078567979. The next prime is 13765078568023. The reversal of 13765078568000 is 86587056731.

It can be written as a sum of positive squares in 16 ways, for example, as 10039468294144 + 3725610273856 = 3168512^2 + 1930184^2 .

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 31 ways as a sum of consecutive naturals, for example, 262861820 + ... + 262914180.

Almost surely, 2^{13765078568000} is an apocalyptic number.

13765078568000 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 13765078568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18056913801264).

13765078568000 is an abundant number, since it is smaller than the sum of its proper divisors (22348749034528).

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

13765078568000 is a wasteful number, since it uses less digits than its factorization.

13765078568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54338 (or 54318 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 56.

The spelling of 13765078568000 in words is "thirteen trillion, seven hundred sixty-five billion, seventy-eight million, five hundred sixty-eight thousand".