534533071004000 has 192 divisors, whose sum is σ = 1314879653767680. Its totient is φ = 213563965427200.

The previous prime is 534533071003973. The next prime is 534533071004021. The reversal of 534533071004000 is 400170335435.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14619489719 + ... + 14619526281.

It is an arithmetic number, because the mean of its divisors is an integer number (6848331530040).

Almost surely, 2^{534533071004000} is an apocalyptic number.

534533071004000 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 534533071004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657439826883840).

534533071004000 is an abundant number, since it is smaller than the sum of its proper divisors (780346582763680).

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

534533071004000 is a wasteful number, since it uses less digits than its factorization.

534533071004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40750 (or 40732 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 35.

The spelling of 534533071004000 in words is "five hundred thirty-four trillion, five hundred thirty-three billion, seventy-one million, four thousand".