73455200888160 has 1536 divisors, whose sum is σ = 308597738803200. Its totient is φ = 14251982192640.

The previous prime is 73455200888093. The next prime is 73455200888161. The reversal of 73455200888160 is 6188800255437.

73455200888160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 73455200888160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73455200888161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14155942846 + ... + 14155948034.

It is an arithmetic number, because the mean of its divisors is an integer number (200909986200).

Almost surely, 2^{73455200888160} is an apocalyptic number.

73455200888160 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 73455200888160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154298869401600).

73455200888160 is an abundant number, since it is smaller than the sum of its proper divisors (235142537915040).

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

73455200888160 is a wasteful number, since it uses less digits than its factorization.

73455200888160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 73455200888160 in words is "seventy-three trillion, four hundred fifty-five billion, two hundred million, eight hundred eighty-eight thousand, one hundred sixty".