54198144000 has 2112 divisors, whose sum is σ = 267809697792. Its totient is φ = 10174464000.

The previous prime is 54198143983. The next prime is 54198144031. The reversal of 54198144000 is 44189145.

54198144000 is a `hidden beast` number, since 54 + 198 + 14 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1153151977 + ... + 1153152023.

Almost surely, 2^54198144000 is an apocalyptic number.

54198144000 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 54198144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133904848896).

54198144000 is an abundant number, since it is smaller than the sum of its proper divisors (213611553792).

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

54198144000 is a wasteful number, since it uses less digits than its factorization.

54198144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 54198144000 in words is "fifty-four billion, one hundred ninety-eight million, one hundred forty-four thousand".