530279006400 has 2520 divisors, whose sum is σ = 2410269447168. Its totient is φ = 113218560000.

The previous prime is 530279006357. The next prime is 530279006407. The reversal of 530279006400 is 4600972035.

530279006400 is a `hidden beast` number, since 5 + 3 + 0 + 2 + 7 + 9 + 0 + 0 + 640 + 0 = 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 (530279006407) 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 359 ways as a sum of consecutive naturals, for example, 7468718365 + ... + 7468718435.

Almost surely, 2^530279006400 is an apocalyptic number.

530279006400 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 530279006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205134723584).

530279006400 is an abundant number, since it is smaller than the sum of its proper divisors (1879990440768).

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

530279006400 is a wasteful number, since it uses less digits than its factorization.

530279006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 530279006400 its reverse (4600972035), we get a palindrome (534879978435).

The spelling of 530279006400 in words is "five hundred thirty billion, two hundred seventy-nine million, six thousand, four hundred".