533729972131200 has 4608 divisors, whose sum is σ = 2447506749542400. Its totient is φ = 113343175065600.

The previous prime is 533729972131171. The next prime is 533729972131201. The reversal of 533729972131200 is 2131279927335.

It is a happy number.

533729972131200 is a `hidden beast` number, since 5 + 3 + 37 + 299 + 7 + 2 + 1 + 312 + 0 + 0 = 666.

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 (533729972131201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 101219411764 + ... + 101219417036.

It is an arithmetic number, because the mean of its divisors is an integer number (531142957800).

Almost surely, 2^{533729972131200} is an apocalyptic number.

533729972131200 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 533729972131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223753374771200).

533729972131200 is an abundant number, since it is smaller than the sum of its proper divisors (1913776777411200).

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

533729972131200 is a wasteful number, since it uses less digits than its factorization.

533729972131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5392 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 533729972131200 in words is "five hundred thirty-three trillion, seven hundred twenty-nine billion, nine hundred seventy-two million, one hundred thirty-one thousand, two hundred".