54004052000 has 96 divisors (see below), whose sum is σ = 135924660144. Its totient is φ = 21074688000.

The previous prime is 54004051993. The next prime is 54004052017. The reversal of 54004052000 is 25040045.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 122500624 + 53881551376 = 11068^2 + 232124^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 647 + ... + 328646.

Almost surely, 2^54004052000 is an apocalyptic number.

54004052000 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 54004052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67962330072).

54004052000 is an abundant number, since it is smaller than the sum of its proper divisors (81920608144).

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

54004052000 is a wasteful number, since it uses less digits than its factorization.

54004052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329359 (or 329341 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

Adding to 54004052000 its reverse (25040045), we get a palindrome (54029092045).

The spelling of 54004052000 in words is "fifty-four billion, four million, fifty-two thousand", and thus it is an eban number.