54984501600 has 576 divisors, whose sum is σ = 214258286592. Its totient is φ = 11983104000.

The previous prime is 54984501587. The next prime is 54984501617. The reversal of 54984501600 is 610548945.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36976057 + ... + 36977543.

It is an arithmetic number, because the mean of its divisors is an integer number (371976192).

Almost surely, 2^54984501600 is an apocalyptic number.

54984501600 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 54984501600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107129143296).

54984501600 is an abundant number, since it is smaller than the sum of its proper divisors (159273784992).

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

54984501600 is a wasteful number, since it uses less digits than its factorization.

54984501600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 54984501600 in words is "fifty-four billion, nine hundred eighty-four million, five hundred one thousand, six hundred".