501653434345672 has 96 divisors (see below), whose sum is σ = 1113399436536000. Its totient is φ = 211223641749120.

The previous prime is 501653434345663. The next prime is 501653434345711. The reversal of 501653434345672 is 276543434356105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8329029 + ... + 32751787.

It is an arithmetic number, because the mean of its divisors is an integer number (11597910797250).

Almost surely, 2^{501653434345672} 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 501653434345672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556699718268000).

501653434345672 is an abundant number, since it is smaller than the sum of its proper divisors (611746002190328).

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

501653434345672 is a wasteful number, since it uses less digits than its factorization.

501653434345672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24423699 (or 24423688 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 58.

The spelling of 501653434345672 in words is "five hundred one trillion, six hundred fifty-three billion, four hundred thirty-four million, three hundred forty-five thousand, six hundred seventy-two".