54008439552432 has 400 divisors, whose sum is σ = 174586640025600. Its totient is φ = 16018472908800.

The previous prime is 54008439552401. The next prime is 54008439552433. The reversal of 54008439552432 is 23425593480045.

54008439552432 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 8 + 4 + 395 + 5 + 243 + 2 = 666.

It is a super-2 number, since 2×54008439552432² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54008439552433) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 200378557 + ... + 200647907.

It is an arithmetic number, because the mean of its divisors is an integer number (436466600064).

Almost surely, 2^{54008439552432} 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 54008439552432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87293320012800).

54008439552432 is an abundant number, since it is smaller than the sum of its proper divisors (120578200473168).

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

54008439552432 is a wasteful number, since it uses less digits than its factorization.

54008439552432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269886 (or 269871 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 54008439552432 in words is "fifty-four trillion, eight billion, four hundred thirty-nine million, five hundred fifty-two thousand, four hundred thirty-two".