54000097632000 has 4032 divisors, whose sum is σ = 229930103475072. Its totient is φ = 12541132800000.

The previous prime is 54000097631999. The next prime is 54000097632007. The reversal of 54000097632000 is 23679000045.

54000097632000 is a `hidden beast` number, since 540 + 0 + 0 + 0 + 97 + 6 + 3 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54000097632007) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 534654431950 + ... + 534654432050.

It is an arithmetic number, because the mean of its divisors is an integer number (57026315346).

Almost surely, 2^{54000097632000} is an apocalyptic number.

54000097632000 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 54000097632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114965051737536).

54000097632000 is an abundant number, since it is smaller than the sum of its proper divisors (175930005843072).

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

54000097632000 is a wasteful number, since it uses less digits than its factorization.

54000097632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 54000097632000 in words is "fifty-four trillion, ninety-seven million, six hundred thirty-two thousand".