55312506585150 has 288 divisors, whose sum is σ = 146310727835520. Its totient is φ = 13826055936000.

The previous prime is 55312506585143. The next prime is 55312506585169. The reversal of 55312506585150 is 5158560521355.

It is a super-2 number, since 2×55312506585150² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 55312506585093 and 55312506585102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23230786960 + ... + 23230789340.

It is an arithmetic number, because the mean of its divisors is an integer number (508023360540).

Almost surely, 2^{55312506585150} is an apocalyptic number.

55312506585150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55312506585150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73155363917760).

55312506585150 is an abundant number, since it is smaller than the sum of its proper divisors (90998221250370).

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

55312506585150 is a wasteful number, since it uses less digits than its factorization.

55312506585150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 4500000, while the sum is 51.

The spelling of 55312506585150 in words is "fifty-five trillion, three hundred twelve billion, five hundred six million, five hundred eighty-five thousand, one hundred fifty".