55461468160 has 384 divisors, whose sum is σ = 161682393600. Its totient is φ = 17836277760.

The previous prime is 55461468121. The next prime is 55461468173. The reversal of 55461468160 is 6186416455.

It is a self number, because there is not a number n which added to its sum of digits gives 55461468160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262850455 + ... + 262850665.

It is an arithmetic number, because the mean of its divisors is an integer number (421047900).

Almost surely, 2^55461468160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55461468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80841196800).

55461468160 is an abundant number, since it is smaller than the sum of its proper divisors (106220925440).

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

55461468160 is a wasteful number, since it uses less digits than its factorization.

55461468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 55461468160 in words is "fifty-five billion, four hundred sixty-one million, four hundred sixty-eight thousand, one hundred sixty".