54195020880 has 1280 divisors, whose sum is σ = 245744271360. Its totient is φ = 9505382400.

The previous prime is 54195020837. The next prime is 54195020909. The reversal of 54195020880 is 8802059145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 141501169 + ... + 141501551.

It is an arithmetic number, because the mean of its divisors is an integer number (191987712).

Almost surely, 2^54195020880 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 54195020880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122872135680).

54195020880 is an abundant number, since it is smaller than the sum of its proper divisors (191549250480).

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

54195020880 is a wasteful number, since it uses less digits than its factorization.

54195020880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 54195020880 in words is "fifty-four billion, one hundred ninety-five million, twenty thousand, eight hundred eighty".