500552052000 has 1152 divisors, whose sum is σ = 2241393493248. Its totient is φ = 95993856000.

The previous prime is 500552051999. The next prime is 500552052079. The reversal of 500552052000 is 250255005.

It is a super-2 number, since 2×500552052000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84081024 + ... + 84086976.

It is an arithmetic number, because the mean of its divisors is an integer number (1945654074).

Almost surely, 2^500552052000 is an apocalyptic number.

500552052000 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 500552052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120696746624).

500552052000 is an abundant number, since it is smaller than the sum of its proper divisors (1740841441248).

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

500552052000 is a wasteful number, since it uses less digits than its factorization.

500552052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 24.

The spelling of 500552052000 in words is "five hundred billion, five hundred fifty-two million, fifty-two thousand".