54825836400 has 360 divisors, whose sum is σ = 202084369344. Its totient is φ = 13717094400.

The previous prime is 54825836389. The next prime is 54825836411. The reversal of 54825836400 is 463852845.

54825836400 is a `hidden beast` number, since 5 + 4 + 8 + 2 + 583 + 64 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54825836389) and next prime (54825836411).

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22459180 + ... + 22461620.

Almost surely, 2^54825836400 is an apocalyptic number.

54825836400 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 54825836400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101042184672).

54825836400 is an abundant number, since it is smaller than the sum of its proper divisors (147258532944).

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

54825836400 is a wasteful number, since it uses less digits than its factorization.

54825836400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 54825836400 in words is "fifty-four billion, eight hundred twenty-five million, eight hundred thirty-six thousand, four hundred".