73445139551520 has 1536 divisors, whose sum is σ = 303591745336320. Its totient is φ = 16590127104000.

The previous prime is 73445139551501. The next prime is 73445139551527. The reversal of 73445139551520 is 2515593154437.

73445139551520 is a `hidden beast` number, since 7 + 3 + 4 + 4 + 5 + 1 + 39 + 551 + 52 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (73445139551527) 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, 6608933484 + ... + 6608944596.

It is an arithmetic number, because the mean of its divisors is an integer number (197650875870).

Almost surely, 2^{73445139551520} 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 73445139551520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151795872668160).

73445139551520 is an abundant number, since it is smaller than the sum of its proper divisors (230146605784800).

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

73445139551520 is a wasteful number, since it uses less digits than its factorization.

73445139551520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11278 (or 11252 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 73445139551520 in words is "seventy-three trillion, four hundred forty-five billion, one hundred thirty-nine million, five hundred fifty-one thousand, five hundred twenty".