54527654100 has 144 divisors (see below), whose sum is σ = 160149749760. Its totient is φ = 14322595200.

The previous prime is 54527654099. The next prime is 54527654101. The reversal of 54527654100 is 145672545.

54527654100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54527654099) and next prime (54527654101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54527654101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5897281 + ... + 5906519.

It is an arithmetic number, because the mean of its divisors is an integer number (1112151040).

Almost surely, 2^54527654100 is an apocalyptic number.

54527654100 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 54527654100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80074874880).

54527654100 is an abundant number, since it is smaller than the sum of its proper divisors (105622095660).

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

54527654100 is a wasteful number, since it uses less digits than its factorization.

54527654100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9550 (or 9543 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The spelling of 54527654100 in words is "fifty-four billion, five hundred twenty-seven million, six hundred fifty-four thousand, one hundred".