532413995760 has 320 divisors, whose sum is σ = 1870840258560. Its totient is φ = 139143536640.

The previous prime is 532413995747. The next prime is 532413995767. The reversal of 532413995760 is 67599314235.

532413995760 is a `hidden beast` number, since 5 + 3 + 241 + 399 + 5 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×532413995760² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 532413995697 and 532413995706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532413995767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21568225 + ... + 21592895.

It is an arithmetic number, because the mean of its divisors is an integer number (5846375808).

Almost surely, 2^532413995760 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 532413995760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935420129280).

532413995760 is an abundant number, since it is smaller than the sum of its proper divisors (1338426262800).

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

532413995760 is a wasteful number, since it uses less digits than its factorization.

532413995760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24893 (or 24881 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 532413995760 in words is "five hundred thirty-two billion, four hundred thirteen million, nine hundred ninety-five thousand, seven hundred sixty".