54442440900 has 90 divisors (see below), whose sum is σ = 176480911530. Its totient is φ = 14517982080.

The previous prime is 54442440847. The next prime is 54442440947. The reversal of 54442440900 is 904424445.

It is a happy number.

54442440900 is a `hidden beast` number, since 544 + 4 + 24 + 4 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6903615744 + 47538825156 = 83088^2 + 218034^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×54442440900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3352545 + ... + 3368744.

It is an arithmetic number, because the mean of its divisors is an integer number (1960899017).

Almost surely, 2^54442440900 is an apocalyptic number.

54442440900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54442440900 is an abundant number, since it is smaller than the sum of its proper divisors (122038470630).

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

54442440900 is a wasteful number, since it uses less digits than its factorization.

54442440900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6721315 (or 6721299 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 54442440900 in words is "fifty-four billion, four hundred forty-two million, four hundred forty thousand, nine hundred".