54351652608 has 432 divisors, whose sum is σ = 177208668000. Its totient is φ = 15876587520.

The previous prime is 54351652601. The next prime is 54351652633. The reversal of 54351652608 is 80625615345.

54351652608 is a `hidden beast` number, since 5 + 4 + 35 + 1 + 6 + 5 + 2 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54351652601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139721278 + ... + 139721666.

It is an arithmetic number, because the mean of its divisors is an integer number (410205250).

Almost surely, 2^54351652608 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 54351652608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88604334000).

54351652608 is an abundant number, since it is smaller than the sum of its proper divisors (122857015392).

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

54351652608 is a wasteful number, since it uses less digits than its factorization.

54351652608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 54351652608 in words is "fifty-four billion, three hundred fifty-one million, six hundred fifty-two thousand, six hundred eight".