54499532688000 has 768 divisors, whose sum is σ = 207390102192000. Its totient is φ = 13668043161600.

The previous prime is 54499532687969. The next prime is 54499532688103. The reversal of 54499532688000 is 88623599445.

54499532688000 is a `hidden beast` number, since 5 + 4 + 4 + 99 + 532 + 6 + 8 + 8 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×54499532688000³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3571624371 + ... + 3571639629.

Almost surely, 2^{54499532688000} is an apocalyptic number.

54499532688000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54499532688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103695051096000).

54499532688000 is an abundant number, since it is smaller than the sum of its proper divisors (152890569504000).

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

54499532688000 is a wasteful number, since it uses less digits than its factorization.

54499532688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16770 (or 16745 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 54499532688000 in words is "fifty-four trillion, four hundred ninety-nine billion, five hundred thirty-two million, six hundred eighty-eight thousand".