54398040768 has 168 divisors, whose sum is σ = 157869544560. Its totient is φ = 17907056640.

The previous prime is 54398040709. The next prime is 54398040797. The reversal of 54398040768 is 86704089345.

54398040768 is a `hidden beast` number, since 543 + 98 + 0 + 4 + 0 + 7 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38606848 + ... + 38608256.

It is an arithmetic number, because the mean of its divisors is an integer number (939699670).

Almost surely, 2^54398040768 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 54398040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78934772280).

54398040768 is an abundant number, since it is smaller than the sum of its proper divisors (103471503792).

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

54398040768 is a wasteful number, since it uses less digits than its factorization.

54398040768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 54398040768 in words is "fifty-four billion, three hundred ninety-eight million, forty thousand, seven hundred sixty-eight".