54268032000 has 704 divisors, whose sum is σ = 222316383744. Its totient is φ = 11442585600.

The previous prime is 54268031953. The next prime is 54268032037. The reversal of 54268032000 is 23086245.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34943224 + ... + 34944776.

Almost surely, 2^54268032000 is an apocalyptic number.

54268032000 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 54268032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111158191872).

54268032000 is an abundant number, since it is smaller than the sum of its proper divisors (168048351744).

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

54268032000 is a wasteful number, since it uses less digits than its factorization.

54268032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 54268032000 in words is "fifty-four billion, two hundred sixty-eight million, thirty-two thousand".