54599078100 has 216 divisors, whose sum is σ = 186356697408. Its totient is φ = 12303782400.

The previous prime is 54599077993. The next prime is 54599078101. The reversal of 54599078100 is 187099545.

It is a super-2 number, since 2×54599078100² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54599078100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54599078101) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1017544 + ... + 1069856.

It is an arithmetic number, because the mean of its divisors is an integer number (862762488).

Almost surely, 2^54599078100 is an apocalyptic number.

54599078100 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 54599078100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93178348704).

54599078100 is an abundant number, since it is smaller than the sum of its proper divisors (131757619308).

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

54599078100 is a wasteful number, since it uses less digits than its factorization.

54599078100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52415 (or 52401 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 54599078100 in words is "fifty-four billion, five hundred ninety-nine million, seventy-eight thousand, one hundred".