54075193083408 has 160 divisors (see below), whose sum is σ = 160024054947840. Its totient is φ = 15413952314880.

The previous prime is 54075193083367. The next prime is 54075193083487. The reversal of 54075193083408 is 80438039157045.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256215141 + ... + 256426107.

It is an arithmetic number, because the mean of its divisors is an integer number (1000150343424).

Almost surely, 2^{54075193083408} 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 54075193083408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80012027473920).

54075193083408 is an abundant number, since it is smaller than the sum of its proper divisors (105948861864432).

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

54075193083408 is a wasteful number, since it uses less digits than its factorization.

54075193083408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212765 (or 212759 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 54075193083408 in words is "fifty-four trillion, seventy-five billion, one hundred ninety-three million, eighty-three thousand, four hundred eight".