54437497920 has 1008 divisors, whose sum is σ = 223095403440. Its totient is φ = 12067799040.

The previous prime is 54437497901. The next prime is 54437497931. The reversal of 54437497920 is 2979473445.

54437497920 is a `hidden beast` number, since 544 + 3 + 7 + 4 + 9 + 7 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4286582784 + 50150915136 = 65472^2 + 223944^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 611657236 + ... + 611657324.

It is an arithmetic number, because the mean of its divisors is an integer number (221324805).

Almost surely, 2^54437497920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54437497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111547701720).

54437497920 is an abundant number, since it is smaller than the sum of its proper divisors (168657905520).

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

54437497920 is a wasteful number, since it uses less digits than its factorization.

54437497920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 54437497920 in words is "fifty-four billion, four hundred thirty-seven million, four hundred ninety-seven thousand, nine hundred twenty".