52004916000 has 288 divisors, whose sum is σ = 191404781568. Its totient is φ = 13867718400.

The previous prime is 52004915959. The next prime is 52004916001. The reversal of 52004916000 is 61940025.

52004916000 is a `hidden beast` number, since 52 + 0 + 0 + 4 + 9 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×52004916000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (52004916001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 945249 + ... + 998751.

It is an arithmetic number, because the mean of its divisors is an integer number (664599936).

Almost surely, 2^52004916000 is an apocalyptic number.

52004916000 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 52004916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95702390784).

52004916000 is an abundant number, since it is smaller than the sum of its proper divisors (139399865568).

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

52004916000 is an equidigital number, since it uses as much as digits as its factorization.

52004916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53543 (or 53513 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 52004916000 in words is "fifty-two billion, four million, nine hundred sixteen thousand".