54634089600 has 768 divisors, whose sum is σ = 219771648000. Its totient is φ = 13193072640.

The previous prime is 54634089599. The next prime is 54634089607. The reversal of 54634089600 is 698043645.

54634089600 is a `hidden beast` number, since 5 + 4 + 6 + 34 + 0 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54634089607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37756077 + ... + 37757523.

It is an arithmetic number, because the mean of its divisors is an integer number (286161000).

Almost surely, 2^54634089600 is an apocalyptic number.

54634089600 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 54634089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109885824000).

54634089600 is an abundant number, since it is smaller than the sum of its proper divisors (165137558400).

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

54634089600 is a wasteful number, since it uses less digits than its factorization.

54634089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 54634089600 in words is "fifty-four billion, six hundred thirty-four million, eighty-nine thousand, six hundred".