54399129600 has 576 divisors, whose sum is σ = 193476366720. Its totient is φ = 13434880000.

The previous prime is 54399129553. The next prime is 54399129601. The reversal of 54399129600 is 692199345.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54399129600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54399129601) 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 47 ways as a sum of consecutive naturals, for example, 216729475 + ... + 216729725.

It is an arithmetic number, because the mean of its divisors is an integer number (335896470).

Almost surely, 2^54399129600 is an apocalyptic number.

54399129600 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 54399129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96738183360).

54399129600 is an abundant number, since it is smaller than the sum of its proper divisors (139077237120).

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

54399129600 is a wasteful number, since it uses less digits than its factorization.

54399129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 54399129600 in words is "fifty-four billion, three hundred ninety-nine million, one hundred twenty-nine thousand, six hundred".