5505001006000 has 80 divisors (see below), whose sum is σ = 13314716651808. Its totient is φ = 2201400864000.

The previous prime is 5505001005997. The next prime is 5505001006039. The reversal of 5505001006000 is 6001005055.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5505001006000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7009134 + ... + 7754866.

Almost surely, 2^{5505001006000} is an apocalyptic number.

5505001006000 is a gapful number since it is divisible by the number (50) 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 5505001006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657358325904).

5505001006000 is an abundant number, since it is smaller than the sum of its proper divisors (7809715645808).

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

5505001006000 is a wasteful number, since it uses less digits than its factorization.

5505001006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749447 (or 749431 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The spelling of 5505001006000 in words is "five trillion, five hundred five billion, one million, six thousand".