54848210400 has 1152 divisors, whose sum is σ = 221385830400. Its totient is φ = 13220444160.

The previous prime is 54848210393. The next prime is 54848210519. The reversal of 54848210400 is 401284845.

54848210400 is a `hidden beast` number, since 548 + 4 + 8 + 2 + 104 + 0 + 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1166983177 + ... + 1166983223.

It is an arithmetic number, because the mean of its divisors is an integer number (192175200).

Almost surely, 2^54848210400 is an apocalyptic number.

54848210400 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 54848210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110692915200).

54848210400 is an abundant number, since it is smaller than the sum of its proper divisors (166537620000).

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

54848210400 is a wasteful number, since it uses less digits than its factorization.

54848210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 54848210400 in words is "fifty-four billion, eight hundred forty-eight million, two hundred ten thousand, four hundred".