54335032000 has 112 divisors (see below), whose sum is σ = 135202635360. Its totient is φ = 21630336000.

The previous prime is 54335031973. The next prime is 54335032019. The reversal of 54335032000 is 23053345.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 1671906 + ... + 1704094.

Almost surely, 2^54335032000 is an apocalyptic number.

54335032000 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 54335032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67601317680).

54335032000 is an abundant number, since it is smaller than the sum of its proper divisors (80867603360).

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

54335032000 is a wasteful number, since it uses less digits than its factorization.

54335032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32427 (or 32407 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 25.

Adding to 54335032000 its reverse (23053345), we get a palindrome (54358085345).

The spelling of 54335032000 in words is "fifty-four billion, three hundred thirty-five million, thirty-two thousand".