54854246400 has 672 divisors, whose sum is σ = 197623541760. Its totient is φ = 13377208320.

The previous prime is 54854246399. The next prime is 54854246411. The reversal of 54854246400 is 464245845.

It is a super-2 number, since 2×54854246400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431923137 + ... + 431923263.

Almost surely, 2^54854246400 is an apocalyptic number.

54854246400 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 54854246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98811770880).

54854246400 is an abundant number, since it is smaller than the sum of its proper divisors (142769295360).

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

54854246400 is a wasteful number, since it uses less digits than its factorization.

54854246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 54854246400 in words is "fifty-four billion, eight hundred fifty-four million, two hundred forty-six thousand, four hundred".