530136868800 has 336 divisors, whose sum is σ = 2168467852032. Its totient is φ = 110158233600.

The previous prime is 530136868799. The next prime is 530136868819. The reversal of 530136868800 is 8868631035.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×530136868800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 530136868800.

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 47 ways as a sum of consecutive naturals, for example, 347577 + ... + 1086776.

Almost surely, 2^530136868800 is an apocalyptic number.

530136868800 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 530136868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084233926016).

530136868800 is an abundant number, since it is smaller than the sum of its proper divisors (1638330983232).

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

530136868800 is a wasteful number, since it uses less digits than its factorization.

530136868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434396 (or 1434381 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 530136868800 in words is "five hundred thirty billion, one hundred thirty-six million, eight hundred sixty-eight thousand, eight hundred".