532792525824 has 660 divisors, whose sum is σ = 1740546086400. Its totient is φ = 162258370560.

The previous prime is 532792525799. The next prime is 532792525829. The reversal of 532792525824 is 428525297235.

It is a happy number.

532792525824 is a `hidden beast` number, since 5 + 3 + 2 + 7 + 9 + 2 + 52 + 582 + 4 = 666.

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

Its product of digits (12096000) is a multiple of the sum of its prime factors (448).

It is not an unprimeable number, because it can be changed into a prime (532792525829) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2677349277 + ... + 2677349475.

It is an arithmetic number, because the mean of its divisors is an integer number (2637191040).

Almost surely, 2^532792525824 is an apocalyptic number.

532792525824 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 532792525824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870273043200).

532792525824 is an abundant number, since it is smaller than the sum of its proper divisors (1207753560576).

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

532792525824 is a wasteful number, since it uses less digits than its factorization.

532792525824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 408 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 532792525824 in words is "five hundred thirty-two billion, seven hundred ninety-two million, five hundred twenty-five thousand, eight hundred twenty-four".