54926286105600 has 4752 divisors, whose sum is σ = 260119181806848. Its totient is φ = 11380659978240.

The previous prime is 54926286105487. The next prime is 54926286105629. The reversal of 54926286105600 is 650168262945.

54926286105600 is a `hidden beast` number, since 5 + 4 + 9 + 2 + 6 + 28 + 6 + 1 + 0 + 5 + 600 = 666.

It is a super-2 number, since 2×54926286105600² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 328899916717 + ... + 328899916883.

Almost surely, 2^{54926286105600} is an apocalyptic number.

54926286105600 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 54926286105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130059590903424).

54926286105600 is an abundant number, since it is smaller than the sum of its proper divisors (205192895701248).

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

54926286105600 is a wasteful number, since it uses less digits than its factorization.

54926286105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 54926286105600 in words is "fifty-four trillion, nine hundred twenty-six billion, two hundred eighty-six million, one hundred five thousand, six hundred".