508263220321920 has 2304 divisors, whose sum is σ = 2156115451576320. Its totient is φ = 109860741365760.

The previous prime is 508263220321861. The next prime is 508263220321979. The reversal of 508263220321920 is 29123022362805.

508263220321920 is a `hidden beast` number, since 5 + 0 + 8 + 2 + 632 + 2 + 0 + 3 + 2 + 1 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (508263220321861) and next prime (508263220321979).

It is a super-2 number, since 2×508263220321920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 74448981547 + ... + 74448988373.

It is an arithmetic number, because the mean of its divisors is an integer number (935813998080).

Almost surely, 2^{508263220321920} 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 508263220321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078057725788160).

508263220321920 is an abundant number, since it is smaller than the sum of its proper divisors (1647852231254400).

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

508263220321920 is a wasteful number, since it uses less digits than its factorization.

508263220321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7091 (or 7069 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 508263220321920 in words is "five hundred eight trillion, two hundred sixty-three billion, two hundred twenty million, three hundred twenty-one thousand, nine hundred twenty".