532507157360640 has 3744 divisors, whose sum is σ = 2474755803666432. Its totient is φ = 104565178368000.

The previous prime is 532507157360621. The next prime is 532507157360657. The reversal of 532507157360640 is 46063751705235.

532507157360640 is a `hidden beast` number, since 5 + 3 + 2 + 5 + 0 + 7 + 1 + 573 + 6 + 0 + 64 + 0 = 666.

It is a super-2 number, since 2×532507157360640² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 132431521830 + ... + 132431525850.

It is an arithmetic number, because the mean of its divisors is an integer number (660992468928).

Almost surely, 2^{532507157360640} 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 532507157360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237377901833216).

532507157360640 is an abundant number, since it is smaller than the sum of its proper divisors (1942248646305792).

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

532507157360640 is a wasteful number, since it uses less digits than its factorization.

532507157360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 532507157360640 in words is "five hundred thirty-two trillion, five hundred seven billion, one hundred fifty-seven million, three hundred sixty thousand, six hundred forty".