54238766400 has 1764 divisors, whose sum is σ = 254109082332. Its totient is φ = 11287019520.

The previous prime is 54238766399. The next prime is 54238766411. The reversal of 54238766400 is 466783245.

54238766400 is a `hidden beast` number, since 5 + 4 + 238 + 7 + 6 + 6 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4837480704 + 49401285696 = 69552^2 + 222264^2 .

It is a tau number, because it is divible by the number of its divisors (1764).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 742996764 + ... + 742996836.

Almost surely, 2^54238766400 is an apocalyptic number.

54238766400 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 54238766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127054541166).

54238766400 is an abundant number, since it is smaller than the sum of its proper divisors (199870315932).

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

54238766400 is a wasteful number, since it uses less digits than its factorization.

54238766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 54238766400 in words is "fifty-four billion, two hundred thirty-eight million, seven hundred sixty-six thousand, four hundred".