54052078080 has 1280 divisors, whose sum is σ = 237584793600. Its totient is φ = 10121379840.

The previous prime is 54052078079. The next prime is 54052078097. The reversal of 54052078080 is 8087025045.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 607326676 + ... + 607326764.

It is an arithmetic number, because the mean of its divisors is an integer number (185613120).

Almost surely, 2^54052078080 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 54052078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118792396800).

54052078080 is an abundant number, since it is smaller than the sum of its proper divisors (183532715520).

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

54052078080 is a wasteful number, since it uses less digits than its factorization.

54052078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The spelling of 54052078080 in words is "fifty-four billion, fifty-two million, seventy-eight thousand, eighty".