51573536428032 has 1144 divisors, whose sum is σ = 164926792034304. Its totient is φ = 16090775027712.

The previous prime is 51573536428021. The next prime is 51573536428039. The reversal of 51573536428032 is 23082463537515.

51573536428032 is a `hidden beast` number, since 5 + 1 + 5 + 7 + 353 + 6 + 4 + 280 + 3 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51573536428032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51573536428039) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 406090837953 + ... + 406090838079.

Almost surely, 2^{51573536428032} 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 51573536428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82463396017152).

51573536428032 is an abundant number, since it is smaller than the sum of its proper divisors (113353255606272).

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

51573536428032 is an frugal number, since it uses more digits than its factorization.

51573536428032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 51573536428032 in words is "fifty-one trillion, five hundred seventy-three billion, five hundred thirty-six million, four hundred twenty-eight thousand, thirty-two".