54925506432 has 320 divisors, whose sum is σ = 173795107200. Its totient is φ = 17170154496.

The previous prime is 54925506409. The next prime is 54925506557. The reversal of 54925506432 is 23460552945.

54925506432 is a `hidden beast` number, since 5 + 4 + 9 + 2 + 550 + 64 + 32 = 666.

It is a super-2 number, since 2×54925506432² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20288823 + ... + 20291529.

It is an arithmetic number, because the mean of its divisors is an integer number (543109710).

Almost surely, 2^54925506432 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 54925506432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86897553600).

54925506432 is an abundant number, since it is smaller than the sum of its proper divisors (118869600768).

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

54925506432 is a wasteful number, since it uses less digits than its factorization.

54925506432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 54925506432 in words is "fifty-four billion, nine hundred twenty-five million, five hundred six thousand, four hundred thirty-two".