54032529408 has 384 divisors, whose sum is σ = 171384595200. Its totient is φ = 14922547200.

The previous prime is 54032529379. The next prime is 54032529409. The reversal of 54032529408 is 80492523045.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 54032529408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54032529409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78194343 + ... + 78195033.

It is an arithmetic number, because the mean of its divisors is an integer number (446314050).

Almost surely, 2^54032529408 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 54032529408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85692297600).

54032529408 is an abundant number, since it is smaller than the sum of its proper divisors (117352065792).

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

54032529408 is a wasteful number, since it uses less digits than its factorization.

54032529408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 54032529408 in words is "fifty-four billion, thirty-two million, five hundred twenty-nine thousand, four hundred eight".