726521425775000 has 192 divisors, whose sum is σ = 1800469020107520. Its totient is φ = 274374720000000.

The previous prime is 726521425774987. The next prime is 726521425775039. The reversal of 726521425775000 is 577524125627.

It is a super-2 number, since 2×726521425775000² (a number of 31 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 47 ways as a sum of consecutive naturals, for example, 20342720 + ... + 43207280.

It is an arithmetic number, because the mean of its divisors is an integer number (9377442813060).

Almost surely, 2^{726521425775000} 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 726521425775000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900234510053760).

726521425775000 is an abundant number, since it is smaller than the sum of its proper divisors (1073947594332520).

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

726521425775000 is a wasteful number, since it uses less digits than its factorization.

726521425775000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22864664 (or 22864640 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 53.

The spelling of 726521425775000 in words is "seven hundred twenty-six trillion, five hundred twenty-one billion, four hundred twenty-five million, seven hundred seventy-five thousand".