55494508075200 has 1008 divisors, whose sum is σ = 208421901769536. Its totient is φ = 13985818214400.

The previous prime is 55494508075121. The next prime is 55494508075213. The reversal of 55494508075200 is 257080549455.

55494508075200 is a `hidden beast` number, since 5 + 5 + 49 + 4 + 508 + 0 + 75 + 20 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5089832949 + ... + 5089843851.

It is an arithmetic number, because the mean of its divisors is an integer number (206767759692).

Almost surely, 2^{55494508075200} is an apocalyptic number.

55494508075200 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 55494508075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104210950884768).

55494508075200 is an abundant number, since it is smaller than the sum of its proper divisors (152927393694336).

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

55494508075200 is a wasteful number, since it uses less digits than its factorization.

55494508075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11242 (or 11224 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 55494508075200 in words is "fifty-five trillion, four hundred ninety-four billion, five hundred eight million, seventy-five thousand, two hundred".