54017527872 has 224 divisors, whose sum is σ = 181826611200. Its totient is φ = 14030338560.

The previous prime is 54017527849. The next prime is 54017527891. The reversal of 54017527872 is 27872571045.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×54017527872³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 687133 + ... + 761699.

Almost surely, 2^54017527872 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 54017527872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90913305600).

54017527872 is an abundant number, since it is smaller than the sum of its proper divisors (127809083328).

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

54017527872 is a wasteful number, since it uses less digits than its factorization.

54017527872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74614 (or 74590 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 48.

The spelling of 54017527872 in words is "fifty-four billion, seventeen million, five hundred twenty-seven thousand, eight hundred seventy-two".