54984917000 has 512 divisors, whose sum is σ = 154983628800. Its totient is φ = 18071424000.

The previous prime is 54984916963. The next prime is 54984917023. The reversal of 54984917000 is 71948945.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 329250917 + ... + 329251083.

It is an arithmetic number, because the mean of its divisors is an integer number (302702400).

Almost surely, 2^54984917000 is an apocalyptic number.

54984917000 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 54984917000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77491814400).

54984917000 is an abundant number, since it is smaller than the sum of its proper divisors (99998711800).

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

54984917000 is a wasteful number, since it uses less digits than its factorization.

54984917000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 54984917000 in words is "fifty-four billion, nine hundred eighty-four million, nine hundred seventeen thousand".