55949593504896 has 2048 divisors, whose sum is σ = 218792448000000. Its totient is φ = 13670694715392.

The previous prime is 55949593504877. The next prime is 55949593504943. The reversal of 55949593504896 is 69840539594955.

It is a happy number.

55949593504896 is a `hidden beast` number, since 5 + 5 + 9 + 49 + 5 + 93 + 5 + 0 + 489 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 93404997205 + ... + 93404997803.

It is an arithmetic number, because the mean of its divisors is an integer number (106832250000).

Almost surely, 2^{55949593504896} is an apocalyptic number.

55949593504896 is a gapful number since it is divisible by the number (56) 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 55949593504896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109396224000000).

55949593504896 is an abundant number, since it is smaller than the sum of its proper divisors (162842854495104).

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

55949593504896 is a wasteful number, since it uses less digits than its factorization.

55949593504896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 9447840000, while the sum is 81.

The spelling of 55949593504896 in words is "fifty-five trillion, nine hundred forty-nine billion, five hundred ninety-three million, five hundred four thousand, eight hundred ninety-six".