55460419056 has 480 divisors, whose sum is σ = 194739916800. Its totient is φ = 14377512960.

The previous prime is 55460419043. The next prime is 55460419067. The reversal of 55460419056 is 65091406455.

55460419056 is a `hidden beast` number, since 55 + 460 + 4 + 1 + 90 + 56 = 666.

It is a super-2 number, since 2×55460419056² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64714180 + ... + 64715036.

It is an arithmetic number, because the mean of its divisors is an integer number (405708160).

Almost surely, 2^55460419056 is an apocalyptic number.

55460419056 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 55460419056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97369958400).

55460419056 is an abundant number, since it is smaller than the sum of its proper divisors (139279497744).

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

55460419056 is a wasteful number, since it uses less digits than its factorization.

55460419056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 55460419056 in words is "fifty-five billion, four hundred sixty million, four hundred nineteen thousand, fifty-six".