55005017760 has 1536 divisors, whose sum is σ = 259601448960. Its totient is φ = 10528358400.

The previous prime is 55005017729. The next prime is 55005017761. The reversal of 55005017760 is 6771050055.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55005017761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 401496412 + ... + 401496548.

It is an arithmetic number, because the mean of its divisors is an integer number (169011360).

Almost surely, 2^55005017760 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 55005017760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129800724480).

55005017760 is an abundant number, since it is smaller than the sum of its proper divisors (204596431200).

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

55005017760 is a wasteful number, since it uses less digits than its factorization.

55005017760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The spelling of 55005017760 in words is "fifty-five billion, five million, seventeen thousand, seven hundred sixty".