500226091262352 has 2880 divisors, whose sum is σ = 1976603089305600. Its totient is φ = 119906240993280.

The previous prime is 500226091262279. The next prime is 500226091262449. The reversal of 500226091262352 is 253262190622005.

500226091262352 is a `hidden beast` number, since 5 + 0 + 0 + 2 + 2 + 6 + 0 + 9 + 12 + 623 + 5 + 2 = 666.

It is a super-2 number, since 2×500226091262352² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 500226091262298 and 500226091262307.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 391107185649 + ... + 391107186927.

It is an arithmetic number, because the mean of its divisors is an integer number (686320517120).

Almost surely, 2^{500226091262352} is an apocalyptic number.

500226091262352 is a gapful number since it is divisible by the number (52) 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 500226091262352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988301544652800).

500226091262352 is an abundant number, since it is smaller than the sum of its proper divisors (1476376998043248).

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

500226091262352 is a wasteful number, since it uses less digits than its factorization.

500226091262352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 500226091262352 in words is "five hundred trillion, two hundred twenty-six billion, ninety-one million, two hundred sixty-two thousand, three hundred fifty-two".