54493212672000 has 1536 divisors, whose sum is σ = 207784708971840. Its totient is φ = 14243541811200.

The previous prime is 54493212671993. The next prime is 54493212672037. The reversal of 54493212672000 is 27621239445.

54493212672000 is a `hidden beast` number, since 5 + 4 + 49 + 321 + 267 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52752383484 + ... + 52752384516.

Almost surely, 2^{54493212672000} is an apocalyptic number.

54493212672000 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 54493212672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103892354485920).

54493212672000 is an abundant number, since it is smaller than the sum of its proper divisors (153291496299840).

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

54493212672000 is an frugal number, since it uses more digits than its factorization.

54493212672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 54493212672000 in words is "fifty-four trillion, four hundred ninety-three billion, two hundred twelve million, six hundred seventy-two thousand".