10506623550 has 96 divisors (see below), whose sum is σ = 26712620640. Its totient is φ = 2732083200.

The previous prime is 10506623549. The next prime is 10506623657. The reversal of 10506623550 is 5532660501.

It is a super-2 number, since 2×10506623550² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 969160 + ... + 979940.

It is an arithmetic number, because the mean of its divisors is an integer number (278256465).

Almost surely, 2^10506623550 is an apocalyptic number.

10506623550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10506623550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13356310320).

10506623550 is an abundant number, since it is smaller than the sum of its proper divisors (16205997090).

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

10506623550 is a wasteful number, since it uses less digits than its factorization.

10506623550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10958 (or 10953 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 10506623550 in words is "ten billion, five hundred six million, six hundred twenty-three thousand, five hundred fifty".