54726232320 has 216 divisors, whose sum is σ = 194466065976. Its totient is φ = 14199128064.

The previous prime is 54726232303. The next prime is 54726232349. The reversal of 54726232320 is 2323262745.

54726232320 is a `hidden beast` number, since 5 + 4 + 7 + 2 + 623 + 2 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25640976384 + 29085255936 = 160128^2 + 170544^2 .

It is a super-2 number, since 2×54726232320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 362044 + ... + 490436.

It is an arithmetic number, because the mean of its divisors is an integer number (900305861).

Almost surely, 2^54726232320 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 54726232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97233032988).

54726232320 is an abundant number, since it is smaller than the sum of its proper divisors (139739833656).

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

54726232320 is a wasteful number, since it uses less digits than its factorization.

54726232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128457 (or 128440 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 54726232320 in words is "fifty-four billion, seven hundred twenty-six million, two hundred thirty-two thousand, three hundred twenty".