73118553948160 has 480 divisors, whose sum is σ = 211477442077440. Its totient is φ = 23707640659968.

The previous prime is 73118553948127. The next prime is 73118553948199. The reversal of 73118553948160 is 6184935581137.

73118553948160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6460942822 + ... + 6460954138.

It is an arithmetic number, because the mean of its divisors is an integer number (440578004328).

Almost surely, 2^{73118553948160} is an apocalyptic number.

73118553948160 is a gapful number since it is divisible by the number (70) 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 73118553948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105738721038720).

73118553948160 is an abundant number, since it is smaller than the sum of its proper divisors (138358888129280).

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

73118553948160 is a wasteful number, since it uses less digits than its factorization.

73118553948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11969 (or 11943 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 61.

The spelling of 73118553948160 in words is "seventy-three trillion, one hundred eighteen billion, five hundred fifty-three million, nine hundred forty-eight thousand, one hundred sixty".