54344253600 has 1944 divisors, whose sum is σ = 261237881268. Its totient is φ = 10528358400.

The previous prime is 54344253521. The next prime is 54344253637. The reversal of 54344253600 is 635244345.

54344253600 is a `hidden beast` number, since 5 + 4 + 3 + 4 + 42 + 5 + 3 + 600 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 5501485584 + 48842768016 = 74172^2 + 221004^2 .

It is a super-2 number, since 2×54344253600² (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 323 ways as a sum of consecutive naturals, for example, 1325469580 + ... + 1325469620.

Almost surely, 2^54344253600 is an apocalyptic number.

54344253600 is a gapful number since it is divisible by the number (50) 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 54344253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130618940634).

54344253600 is an abundant number, since it is smaller than the sum of its proper divisors (206893627668).

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

54344253600 is a wasteful number, since it uses less digits than its factorization.

54344253600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 54344253600 its reverse (635244345), we get a palindrome (54979497945).

The spelling of 54344253600 in words is "fifty-four billion, three hundred forty-four million, two hundred fifty-three thousand, six hundred".