530920406016 has 1584 divisors, whose sum is σ = 2187909584640. Its totient is φ = 120076369920.

The previous prime is 530920406011. The next prime is 530920406039. The reversal of 530920406016 is 610604029035.

It is a happy number.

530920406016 is a `hidden beast` number, since 5 + 3 + 0 + 9 + 2 + 0 + 40 + 601 + 6 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (530920406011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2278628236 + ... + 2278628468.

Almost surely, 2^530920406016 is an apocalyptic number.

530920406016 is a gapful number since it is divisible by the number (56) 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 530920406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093954792320).

530920406016 is an abundant number, since it is smaller than the sum of its proper divisors (1656989178624).

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

530920406016 is a wasteful number, since it uses less digits than its factorization.

530920406016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 530920406016 in words is "five hundred thirty billion, nine hundred twenty million, four hundred six thousand, sixteen".