55005155040 has 768 divisors, whose sum is σ = 214592716800. Its totient is φ = 11678515200.

The previous prime is 55005154987. The next prime is 55005155053. The reversal of 55005155040 is 4055150055.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 55005154989 and 55005155007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71527776 + ... + 71528544.

It is an arithmetic number, because the mean of its divisors is an integer number (279417600).

Almost surely, 2^55005155040 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 55005155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107296358400).

55005155040 is an abundant number, since it is smaller than the sum of its proper divisors (159587561760).

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

55005155040 is a wasteful number, since it uses less digits than its factorization.

55005155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 12500, while the sum is 30.

The spelling of 55005155040 in words is "fifty-five billion, five million, one hundred fifty-five thousand, forty".