534901765347072 has 1152 divisors, whose sum is σ = 1694671991147520. Its totient is φ = 168290965979136.

The previous prime is 534901765347011. The next prime is 534901765347203. The reversal of 534901765347072 is 270743567109435.

534901765347072 is a `hidden beast` number, since 5 + 3 + 4 + 90 + 1 + 7 + 6 + 5 + 3 + 470 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×534901765347072² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85488532168 + ... + 85488538424.

It is an arithmetic number, because the mean of its divisors is an integer number (1471069436760).

Almost surely, 2^{534901765347072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534901765347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847335995573760).

534901765347072 is an abundant number, since it is smaller than the sum of its proper divisors (1159770225800448).

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

534901765347072 is an frugal number, since it uses more digits than its factorization.

534901765347072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6457 (or 6425 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 534901765347072 in words is "five hundred thirty-four trillion, nine hundred one billion, seven hundred sixty-five million, three hundred forty-seven thousand, seventy-two".