67115145053550 has 384 divisors, whose sum is σ = 195258805493760. Its totient is φ = 15081528499200.

The previous prime is 67115145053533. The next prime is 67115145053599. The reversal of 67115145053550 is 5535054151176.

67115145053550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 67115145053550.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8585789242 + ... + 8585797058.

It is an arithmetic number, because the mean of its divisors is an integer number (508486472640).

Almost surely, 2^{67115145053550} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67115145053550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97629402746880).

67115145053550 is an abundant number, since it is smaller than the sum of its proper divisors (128143660440210).

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

67115145053550 is a wasteful number, since it uses less digits than its factorization.

67115145053550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13736 (or 13731 counting only the distinct ones).

The product of its (nonzero) digits is 1575000, while the sum is 48.

The spelling of 67115145053550 in words is "sixty-seven trillion, one hundred fifteen billion, one hundred forty-five million, fifty-three thousand, five hundred fifty".