55055055055000 has 960 divisors, whose sum is σ = 176252404426560. Its totient is φ = 15681600000000.

The previous prime is 55055055054977. The next prime is 55055055055027. The reversal of 55055055055000 is 55055055055.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5560550050 + ... + 5560559950.

It is an arithmetic number, because the mean of its divisors is an integer number (183596254611).

Almost surely, 2^{55055055055000} is an apocalyptic number.

55055055055000 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 55055055055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88126202213280).

55055055055000 is an abundant number, since it is smaller than the sum of its proper divisors (121197349371560).

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

55055055055000 is a wasteful number, since it uses less digits than its factorization.

55055055055000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10070 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 390625, while the sum is 40.

Subtracting from 55055055055000 its reverse (55055055055), we obtain a palindrome (54999999999945).

55055055055000 divided by its reverse (55055055055) gives a cube (1000 = 10³).

It can be divided in two parts, 550550 and 55055000, that multiplied together give a square (30310530250000 = 5505500²).

The spelling of 55055055055000 in words is "fifty-five trillion, fifty-five billion, fifty-five million, fifty-five thousand".