73898045133120 has 1792 divisors, whose sum is σ = 323008332595200. Its totient is φ = 15695765176320.

The previous prime is 73898045133119. The next prime is 73898045133197. The reversal of 73898045133120 is 2133154089837.

73898045133120 is a `hidden beast` number, since 7 + 3 + 8 + 98 + 0 + 4 + 513 + 31 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1124627307 + ... + 1124693013.

It is an arithmetic number, because the mean of its divisors is an integer number (180250185600).

Almost surely, 2^{73898045133120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73898045133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161504166297600).

73898045133120 is an abundant number, since it is smaller than the sum of its proper divisors (249110287462080).

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

73898045133120 is a wasteful number, since it uses less digits than its factorization.

73898045133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65813 (or 65797 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 73898045133120 in words is "seventy-three trillion, eight hundred ninety-eight billion, forty-five million, one hundred thirty-three thousand, one hundred twenty".