532138529520 has 240 divisors, whose sum is σ = 1969326559200. Its totient is φ = 127941617664.

The previous prime is 532138529509. The next prime is 532138529567. The reversal of 532138529520 is 25925831235.

532138529520 is a `hidden beast` number, since 5 + 3 + 21 + 3 + 85 + 29 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×532138529520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258595 + ... + 1063554.

It is an arithmetic number, because the mean of its divisors is an integer number (8205527330).

Almost surely, 2^532138529520 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 532138529520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984663279600).

532138529520 is an abundant number, since it is smaller than the sum of its proper divisors (1437188029680).

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

532138529520 is a wasteful number, since it uses less digits than its factorization.

532138529520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322224 (or 1322215 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 532138529520 in words is "five hundred thirty-two billion, one hundred thirty-eight million, five hundred twenty-nine thousand, five hundred twenty".