530391628800 has 1584 divisors, whose sum is σ = 2248485587712. Its totient is φ = 122624409600.

The previous prime is 530391628787. The next prime is 530391628847. The reversal of 530391628800 is 8826193035.

It is a happy number.

530391628800 is a `hidden beast` number, since 530 + 3 + 9 + 16 + 28 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×530391628800² (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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1573862232 + ... + 1573862568.

Almost surely, 2^530391628800 is an apocalyptic number.

530391628800 is a gapful number since it is divisible by the number (50) 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 530391628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124242793856).

530391628800 is an abundant number, since it is smaller than the sum of its proper divisors (1718093958912).

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

530391628800 is a wasteful number, since it uses less digits than its factorization.

530391628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 530391628800 in words is "five hundred thirty billion, three hundred ninety-one million, six hundred twenty-eight thousand, eight hundred".