10123251559008 has 576 divisors, whose sum is σ = 34558887686400. Its totient is φ = 2571025121280.

The previous prime is 10123251559007. The next prime is 10123251559039. The reversal of 10123251559008 is 80095515232101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123251559007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 502908688 + ... + 502928816.

It is an arithmetic number, because the mean of its divisors is an integer number (59998068900).

Almost surely, 2^{10123251559008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10123251559008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17279443843200).

10123251559008 is an abundant number, since it is smaller than the sum of its proper divisors (24435636127392).

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

10123251559008 is a wasteful number, since it uses less digits than its factorization.

10123251559008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20523 (or 20508 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 42.

The spelling of 10123251559008 in words is "ten trillion, one hundred twenty-three billion, two hundred fifty-one million, five hundred fifty-nine thousand, eight".