532553764000 has 96 divisors (see below), whose sum is σ = 1385454457296. Its totient is φ = 200490803200.

The previous prime is 532553763943. The next prime is 532553764021. The reversal of 532553764000 is 467355235.

It can be written as a sum of positive squares in 8 ways, for example, as 214417154704 + 318136609296 = 463052^2 + 564036^2 .

It is a super-2 number, since 2×532553764000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3847837 + ... + 3983836.

Almost surely, 2^532553764000 is an apocalyptic number.

532553764000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

532553764000 is an abundant number, since it is smaller than the sum of its proper divisors (852900693296).

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

532553764000 is a wasteful number, since it uses less digits than its factorization.

532553764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7831715 (or 7831697 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 40.

The spelling of 532553764000 in words is "five hundred thirty-two billion, five hundred fifty-three million, seven hundred sixty-four thousand".