54149784000 has 448 divisors, whose sum is σ = 193753752192. Its totient is φ = 13246464000.

The previous prime is 54149783993. The next prime is 54149784001. The reversal of 54149784000 is 48794145.

It is a super-3 number, since 3×54149784000³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54149784001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61463560 + ... + 61464440.

It is an arithmetic number, because the mean of its divisors is an integer number (432486054).

Almost surely, 2^54149784000 is an apocalyptic number.

54149784000 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 54149784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96876876096).

54149784000 is an abundant number, since it is smaller than the sum of its proper divisors (139603968192).

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

54149784000 is a wasteful number, since it uses less digits than its factorization.

54149784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 54149784000 in words is "fifty-four billion, one hundred forty-nine million, seven hundred eighty-four thousand".