52171776000 has 1120 divisors, whose sum is σ = 211523927472. Its totient is φ = 12740198400.

The previous prime is 52171775977. The next prime is 52171776043. The reversal of 52171776000 is 67717125.

52171776000 is a `hidden beast` number, since 521 + 7 + 1 + 77 + 60 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14492307456 + 37679468544 = 120384^2 + 194112^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1410047982 + ... + 1410048018.

Almost surely, 2^52171776000 is an apocalyptic number.

52171776000 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 52171776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105761963736).

52171776000 is an abundant number, since it is smaller than the sum of its proper divisors (159352151472).

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

52171776000 is an equidigital number, since it uses as much as digits as its factorization.

52171776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 52171776000 in words is "fifty-two billion, one hundred seventy-one million, seven hundred seventy-six thousand".