52770432000 has 1056 divisors, whose sum is σ = 213088966272. Its totient is φ = 11427840000.

The previous prime is 52770431963. The next prime is 52770432017. The reversal of 52770432000 is 23407725.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1702271985 + ... + 1702272015.

Almost surely, 2^52770432000 is an apocalyptic number.

52770432000 is a gapful number since it is divisible by the number (50) 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 52770432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106544483136).

52770432000 is an abundant number, since it is smaller than the sum of its proper divisors (160318534272).

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

52770432000 is a wasteful number, since it uses less digits than its factorization.

52770432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

Adding to 52770432000 its reverse (23407725), we get a palindrome (52793839725).

The spelling of 52770432000 in words is "fifty-two billion, seven hundred seventy million, four hundred thirty-two thousand".