52640524133200 has 120 divisors (see below), whose sum is σ = 133912134255672. Its totient is φ = 19817027420160.

The previous prime is 52640524133191. The next prime is 52640524133261. The reversal of 52640524133200 is 233142504625.

It can be written as a sum of positive squares in 12 ways, for example, as 691199355456 + 51949324777744 = 831384^2 + 7207588^2 .

It is a super-2 number, since 2×52640524133200² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52640524133200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283718862 + ... + 283904338.

Almost surely, 2^{52640524133200} is an apocalyptic number.

52640524133200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52640524133200 is an abundant number, since it is smaller than the sum of its proper divisors (81271610122472).

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

52640524133200 is a wasteful number, since it uses less digits than its factorization.

52640524133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227249 (or 227238 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 52640524133200 its reverse (233142504625), we get a palindrome (52873666637825).

The spelling of 52640524133200 in words is "fifty-two trillion, six hundred forty billion, five hundred twenty-four million, one hundred thirty-three thousand, two hundred".