54374803200 has 432 divisors, whose sum is σ = 200128857600. Its totient is φ = 14446080000.

The previous prime is 54374803139. The next prime is 54374803207. The reversal of 54374803200 is 230847345.

It is a happy number.

54374803200 is a `hidden beast` number, since 5 + 4 + 374 + 80 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×54374803200³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54374803207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72402825 + ... + 72403575.

Almost surely, 2^54374803200 is an apocalyptic number.

54374803200 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 54374803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100064428800).

54374803200 is an abundant number, since it is smaller than the sum of its proper divisors (145754054400).

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

54374803200 is a wasteful number, since it uses less digits than its factorization.

54374803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 54374803200 in words is "fifty-four billion, three hundred seventy-four million, eight hundred three thousand, two hundred".