52434669600 has 180 divisors, whose sum is σ = 191219280714. Its totient is φ = 13982561280.

The previous prime is 52434669577. The next prime is 52434669601. The reversal of 52434669600 is 696643425.

52434669600 is a `hidden beast` number, since 5 + 2 + 4 + 34 + 6 + 6 + 9 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 34413218064 + 18021451536 = 185508^2 + 134244^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×52434669600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (52434669601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 339789 + ... + 469388.

Almost surely, 2^52434669600 is an apocalyptic number.

52434669600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52434669600 is an abundant number, since it is smaller than the sum of its proper divisors (138784611114).

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

52434669600 is a wasteful number, since it uses less digits than its factorization.

52434669600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809209 (or 809187 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 52434669600 in words is "fifty-two billion, four hundred thirty-four million, six hundred sixty-nine thousand, six hundred".