10351242072 has 192 divisors, whose sum is σ = 29578348800. Its totient is φ = 3391113600.

The previous prime is 10351242059. The next prime is 10351242103. The reversal of 10351242072 is 27024215301.

10351242072 is a `hidden beast` number, since 1 + 0 + 351 + 242 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 52544278 + ... + 52544474.

It is an arithmetic number, because the mean of its divisors is an integer number (154053900).

Almost surely, 2^10351242072 is an apocalyptic number.

10351242072 is a gapful number since it is divisible by the number (12) 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 10351242072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14789174400).

10351242072 is an abundant number, since it is smaller than the sum of its proper divisors (19227106728).

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

10351242072 is a wasteful number, since it uses less digits than its factorization.

10351242072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 10351242072 its reverse (27024215301), we get a palindrome (37375457373).

The spelling of 10351242072 in words is "ten billion, three hundred fifty-one million, two hundred forty-two thousand, seventy-two".