52495581600 has 1512 divisors, whose sum is σ = 245294487648. Its totient is φ = 10842854400.

The previous prime is 52495581587. The next prime is 52495581679. The reversal of 52495581600 is 618559425.

52495581600 is a `hidden beast` number, since 5 + 2 + 4 + 9 + 5 + 581 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 314344717 + ... + 314344883.

It is an arithmetic number, because the mean of its divisors is an integer number (162231804).

Almost surely, 2^52495581600 is an apocalyptic number.

52495581600 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 52495581600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122647243824).

52495581600 is an abundant number, since it is smaller than the sum of its proper divisors (192798906048).

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

52495581600 is a wasteful number, since it uses less digits than its factorization.

52495581600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 52495581600 in words is "fifty-two billion, four hundred ninety-five million, five hundred eighty-one thousand, six hundred".