52635966240 has 384 divisors, whose sum is σ = 195239745792. Its totient is φ = 11751505920.

The previous prime is 52635966223. The next prime is 52635966241. The reversal of 52635966240 is 4266953625.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 52635966240.

It is not an unprimeable number, because it can be changed into a prime (52635966241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 51959974 + ... + 51960986.

It is an arithmetic number, because the mean of its divisors is an integer number (508436838).

Almost surely, 2^52635966240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52635966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97619872896).

52635966240 is an abundant number, since it is smaller than the sum of its proper divisors (142603779552).

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

52635966240 is a wasteful number, since it uses less digits than its factorization.

52635966240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 52635966240 in words is "fifty-two billion, six hundred thirty-five million, nine hundred sixty-six thousand, two hundred forty".