54334156800 has 624 divisors, whose sum is σ = 224068015872. Its totient is φ = 11285299200.

The previous prime is 54334156781. The next prime is 54334156801. The reversal of 54334156800 is 865143345.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54334156801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23653252 + ... + 23655548.

Almost surely, 2^54334156800 is an apocalyptic number.

54334156800 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 54334156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112034007936).

54334156800 is an abundant number, since it is smaller than the sum of its proper divisors (169733859072).

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

54334156800 is a wasteful number, since it uses less digits than its factorization.

54334156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 54334156800 in words is "fifty-four billion, three hundred thirty-four million, one hundred fifty-six thousand, eight hundred".