54175948398 has 288 divisors, whose sum is σ = 148140824832. Its totient is φ = 14134348800.

The previous prime is 54175948363. The next prime is 54175948403. The reversal of 54175948398 is 89384957145.

54175948398 is a `hidden beast` number, since 5 + 4 + 1 + 7 + 594 + 8 + 39 + 8 = 666.

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, 74519511 + ... + 74520237.

It is an arithmetic number, because the mean of its divisors is an integer number (514377864).

Almost surely, 2^54175948398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54175948398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74070412416).

54175948398 is an abundant number, since it is smaller than the sum of its proper divisors (93964876434).

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

54175948398 is a wasteful number, since it uses less digits than its factorization.

54175948398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 904 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 54175948398 in words is "fifty-four billion, one hundred seventy-five million, nine hundred forty-eight thousand, three hundred ninety-eight".