54095424768 has 432 divisors, whose sum is σ = 197167641216. Its totient is φ = 13854965760.

The previous prime is 54095424751. The next prime is 54095424781. The reversal of 54095424768 is 86742459045.

54095424768 is a `hidden beast` number, since 5 + 40 + 95 + 42 + 476 + 8 = 666.

It is a super-3 number, since 3×54095424768³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12948696 + ... + 12952872.

Almost surely, 2^54095424768 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 54095424768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98583820608).

54095424768 is an abundant number, since it is smaller than the sum of its proper divisors (143072216448).

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

54095424768 is a wasteful number, since it uses less digits than its factorization.

54095424768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 54095424768 in words is "fifty-four billion, ninety-five million, four hundred twenty-four thousand, seven hundred sixty-eight".