532405053252864 has 2592 divisors, whose sum is σ = 1985993543116800. Its totient is φ = 139107439411200.

The previous prime is 532405053252803. The next prime is 532405053252871. The reversal of 532405053252864 is 468252350504235.

It is a happy number.

532405053252864 is a `hidden beast` number, since 5 + 3 + 2 + 4 + 0 + 5 + 0 + 53 + 2 + 528 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 532405053252864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 401209534569 + ... + 401209535895.

Almost surely, 2^{532405053252864} is an apocalyptic number.

532405053252864 is a gapful number since it is divisible by the number (54) 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 532405053252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992996771558400).

532405053252864 is an abundant number, since it is smaller than the sum of its proper divisors (1453588489863936).

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

532405053252864 is a wasteful number, since it uses less digits than its factorization.

532405053252864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 54.

The spelling of 532405053252864 in words is "five hundred thirty-two trillion, four hundred five billion, fifty-three million, two hundred fifty-two thousand, eight hundred sixty-four".