54779880600 has 216 divisors, whose sum is σ = 190536876660. Its totient is φ = 14103855360.

The previous prime is 54779880599. The next prime is 54779880619. The reversal of 54779880600 is 608897745.

54779880600 is a `hidden beast` number, since 5 + 477 + 98 + 80 + 6 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1495707 + ... + 1531893.

Almost surely, 2^54779880600 is an apocalyptic number.

54779880600 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 54779880600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95268438330).

54779880600 is an abundant number, since it is smaller than the sum of its proper divisors (135756996060).

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

54779880600 is a wasteful number, since it uses less digits than its factorization.

54779880600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36267 (or 36226 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 54779880600 in words is "fifty-four billion, seven hundred seventy-nine million, eight hundred eighty thousand, six hundred".