54146534400 has 1584 divisors, whose sum is σ = 247573678080. Its totient is φ = 11346739200.

The previous prime is 54146534383. The next prime is 54146534443. The reversal of 54146534400 is 443564145.

54146534400 is a `hidden beast` number, since 5 + 41 + 46 + 534 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1746662385 + ... + 1746662415.

Almost surely, 2^54146534400 is an apocalyptic number.

54146534400 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 54146534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123786839040).

54146534400 is an abundant number, since it is smaller than the sum of its proper divisors (193427143680).

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

54146534400 is a wasteful number, since it uses less digits than its factorization.

54146534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 54146534400 in words is "fifty-four billion, one hundred forty-six million, five hundred thirty-four thousand, four hundred".