54858772800 has 420 divisors, whose sum is σ = 217165030236. Its totient is φ = 13503283200.

The previous prime is 54858772799. The next prime is 54858772811. The reversal of 54858772800 is 827785845.

54858772800 is a `hidden beast` number, since 5 + 485 + 87 + 7 + 2 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1973491776 + 52885281024 = 44424^2 + 229968^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1668520 + ... + 1701080.

Almost surely, 2^54858772800 is an apocalyptic number.

54858772800 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 54858772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108582515118).

54858772800 is an abundant number, since it is smaller than the sum of its proper divisors (162306257436).

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

54858772800 is a wasteful number, since it uses less digits than its factorization.

54858772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32608 (or 32584 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 54858772800 in words is "fifty-four billion, eight hundred fifty-eight million, seven hundred seventy-two thousand, eight hundred".