54751334400000 has 3840 divisors, whose sum is σ = 249770666154240. Its totient is φ = 11678515200000.

The previous prime is 54751334399969. The next prime is 54751334400011. The reversal of 54751334400000 is 443315745.

54751334400000 is a `hidden beast` number, since 54 + 75 + 133 + 4 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1335398399980 + ... + 1335398400020.

It is an arithmetic number, because the mean of its divisors is an integer number (65044444311).

Almost surely, 2^{54751334400000} is an apocalyptic number.

54751334400000 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 54751334400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124885333077120).

54751334400000 is an abundant number, since it is smaller than the sum of its proper divisors (195019331754240).

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

54751334400000 is an frugal number, since it uses more digits than its factorization.

54751334400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 54751334400000 its reverse (443315745), we get a palindrome (54751777715745).

The spelling of 54751334400000 in words is "fifty-four trillion, seven hundred fifty-one billion, three hundred thirty-four million, four hundred thousand".