54332544000 has 1408 divisors, whose sum is σ = 231758392320. Its totient is φ = 11010048000.

The previous prime is 54332543987. The next prime is 54332544011. The reversal of 54332544000 is 44523345.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1325183980 + ... + 1325184020.

Almost surely, 2^54332544000 is an apocalyptic number.

54332544000 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 54332544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115879196160).

54332544000 is an abundant number, since it is smaller than the sum of its proper divisors (177425848320).

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

54332544000 is a wasteful number, since it uses less digits than its factorization.

54332544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 54332544000 in words is "fifty-four billion, three hundred thirty-two million, five hundred forty-four thousand".