54448582900 has 72 divisors (see below), whose sum is σ = 122639928320. Its totient is φ = 20960208000.

The previous prime is 54448582871. The next prime is 54448582901. The reversal of 54448582900 is 928584445.

It is a super-3 number, since 3×54448582900³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54448582901) 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 23 ways as a sum of consecutive naturals, for example, 512581 + ... + 609619.

Almost surely, 2^54448582900 is an apocalyptic number.

54448582900 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 54448582900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61319964160).

54448582900 is an abundant number, since it is smaller than the sum of its proper divisors (68191345420).

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

54448582900 is a wasteful number, since it uses less digits than its factorization.

54448582900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97265 (or 97258 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 49.

The spelling of 54448582900 in words is "fifty-four billion, four hundred forty-eight million, five hundred eighty-two thousand, nine hundred".