534042231021600 has 288 divisors, whose sum is σ = 1986732716967936. Its totient is φ = 122060920550400.

The previous prime is 534042231021547. The next prime is 534042231021641. The reversal of 534042231021600 is 6120132240435.

It is a super-2 number, since 2×534042231021600² (a number of 30 digits) contains 22 as substring.

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, 353171145 + ... + 354680055.

It is an arithmetic number, because the mean of its divisors is an integer number (6898377489472).

Almost surely, 2^{534042231021600} is an apocalyptic number.

534042231021600 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 534042231021600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993366358483968).

534042231021600 is an abundant number, since it is smaller than the sum of its proper divisors (1452690485946336).

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

534042231021600 is a wasteful number, since it uses less digits than its factorization.

534042231021600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530008 (or 1529995 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 534042231021600 in words is "five hundred thirty-four trillion, forty-two billion, two hundred thirty-one million, twenty-one thousand, six hundred".