532896051340800 has 1620 divisors, whose sum is σ = 2303674862989500. Its totient is φ = 121803871150080.

The previous prime is 532896051340799. The next prime is 532896051340801. The reversal of 532896051340800 is 8043150698235.

532896051340800 is a `hidden beast` number, since 5 + 3 + 2 + 8 + 9 + 6 + 0 + 513 + 40 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (532896051340799) and next prime (532896051340801).

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532896051340801) by changing a digit.

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 161 ways as a sum of consecutive naturals, for example, 4114994451 + ... + 4115123949.

Almost surely, 2^{532896051340800} is an apocalyptic number.

532896051340800 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 532896051340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151837431494750).

532896051340800 is an abundant number, since it is smaller than the sum of its proper divisors (1770778811648700).

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

532896051340800 is an frugal number, since it uses more digits than its factorization.

532896051340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129565 (or 129516 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 532896051340800 in words is "five hundred thirty-two trillion, eight hundred ninety-six billion, fifty-one million, three hundred forty thousand, eight hundred".