5181888226320 has 1600 divisors, whose sum is σ = 21213168936960. Its totient is φ = 1160950579200.

The previous prime is 5181888226297. The next prime is 5181888226321. The reversal of 5181888226320 is 236228881815.

5181888226320 is a `hidden beast` number, since 5 + 1 + 8 + 18 + 88 + 226 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5181888226321) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8980741872 + ... + 8980742448.

Almost surely, 2^{5181888226320} 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 5181888226320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10606584468480).

5181888226320 is an abundant number, since it is smaller than the sum of its proper divisors (16031280710640).

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

5181888226320 is a wasteful number, since it uses less digits than its factorization.

5181888226320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 5181888226320 in words is "five trillion, one hundred eighty-one billion, eight hundred eighty-eight million, two hundred twenty-six thousand, three hundred twenty".