530415090072 has 256 divisors, whose sum is σ = 1773334656000. Its totient is φ = 143501912064.

The previous prime is 530415090059. The next prime is 530415090077. The reversal of 530415090072 is 270090514035.

530415090072 is a `hidden beast` number, since 530 + 4 + 1 + 50 + 9 + 0 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530415090077) 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, 95173078 + ... + 95178650.

It is an arithmetic number, because the mean of its divisors is an integer number (6927088500).

Almost surely, 2^530415090072 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 530415090072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886667328000).

530415090072 is an abundant number, since it is smaller than the sum of its proper divisors (1242919565928).

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

530415090072 is a wasteful number, since it uses less digits than its factorization.

530415090072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8927 (or 8917 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 530415090072 in words is "five hundred thirty billion, four hundred fifteen million, ninety thousand, seventy-two".