54201664000 has 160 divisors (see below), whose sum is σ = 147443991552. Its totient is φ = 19709440000.

The previous prime is 54201663991. The next prime is 54201664003. The reversal of 54201664000 is 46610245.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 54201664000.

It is not an unprimeable number, because it can be changed into a prime (54201664003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665505 + ... + 742495.

Almost surely, 2^54201664000 is an apocalyptic number.

54201664000 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 54201664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73721995776).

54201664000 is an abundant number, since it is smaller than the sum of its proper divisors (93242327552).

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

54201664000 is an equidigital number, since it uses as much as digits as its factorization.

54201664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77035 (or 77009 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

It can be divided in two parts, 54201 and 664000, that added together give a triangular number (718201 = T₁₁₉₈).

The spelling of 54201664000 in words is "fifty-four billion, two hundred one million, six hundred sixty-four thousand".