10322137051072 has 448 divisors, whose sum is σ = 27836610149376. Its totient is φ = 3673945866240.

The previous prime is 10322137050989. The next prime is 10322137051129. The reversal of 10322137051072 is 27015073122301.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10322137051072² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 1373168658 + ... + 1373176174.

It is an arithmetic number, because the mean of its divisors is an integer number (62135290512).

Almost surely, 2^{10322137051072} 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 10322137051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13918305074688).

10322137051072 is an abundant number, since it is smaller than the sum of its proper divisors (17514473098304).

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

10322137051072 is a wasteful number, since it uses less digits than its factorization.

10322137051072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8044 (or 8034 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 10322137051072 in words is "ten trillion, three hundred twenty-two billion, one hundred thirty-seven million, fifty-one thousand, seventy-two".