123563050410 has 128 divisors (see below), whose sum is σ = 320249583360. Its totient is φ = 30397300736.

The previous prime is 123563050399. The next prime is 123563050423. The reversal of 123563050410 is 14050365321.

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

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 63 ways as a sum of consecutive naturals, for example, 10615954 + ... + 10627586.

It is an arithmetic number, because the mean of its divisors is an integer number (2501949870).

Almost surely, 2^123563050410 is an apocalyptic number.

123563050410 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 123563050410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160124791680).

123563050410 is an abundant number, since it is smaller than the sum of its proper divisors (196686532950).

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

123563050410 is a wasteful number, since it uses less digits than its factorization.

123563050410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12072.

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 123563050410 in words is "one hundred twenty-three billion, five hundred sixty-three million, fifty thousand, four hundred ten".