54461504100 has 288 divisors, whose sum is σ = 166239360000. Its totient is φ = 13747345920.

The previous prime is 54461504089. The next prime is 54461504137. The reversal of 54461504100 is 140516445.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143697711 + ... + 143698089.

It is an arithmetic number, because the mean of its divisors is an integer number (577220000).

Almost surely, 2^54461504100 is an apocalyptic number.

54461504100 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 54461504100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83119680000).

54461504100 is an abundant number, since it is smaller than the sum of its proper divisors (111777855900).

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

54461504100 is a wasteful number, since it uses less digits than its factorization.

54461504100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 54461504100 in words is "fifty-four billion, four hundred sixty-one million, five hundred four thousand, one hundred".