123527052247040 has 960 divisors, whose sum is σ = 340416771932160. Its totient is φ = 42700048957440.

The previous prime is 123527052247033. The next prime is 123527052247091. The reversal of 123527052247040 is 40742250725321.

It is a junction number, because it is equal to n+sod(n) for n = 123527052246982 and 123527052247000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253648977677 + ... + 253648978163.

It is an arithmetic number, because the mean of its divisors is an integer number (354600804096).

Almost surely, 2^{123527052247040} is an apocalyptic number.

123527052247040 is a gapful number since it is divisible by the number (10) 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 123527052247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170208385966080).

123527052247040 is an abundant number, since it is smaller than the sum of its proper divisors (216889719685120).

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

123527052247040 is a wasteful number, since it uses less digits than its factorization.

123527052247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 44.

The spelling of 123527052247040 in words is "one hundred twenty-three trillion, five hundred twenty-seven billion, fifty-two million, two hundred forty-seven thousand, forty".