10657126120000 has 140 divisors (see below), whose sum is σ = 26454385758636. Its totient is φ = 4258305280000.

The previous prime is 10657126119979. The next prime is 10657126120001. The reversal of 10657126120000 is 2162175601.

It can be written as a sum of positive squares in 10 ways, for example, as 5495723735616 + 5161402384384 = 2344296^2 + 2271872^2 .

It is a super-2 number, since 2×10657126120000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10657126120001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37498434 + ... + 37781566.

Almost surely, 2^{10657126120000} is an apocalyptic number.

10657126120000 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 10657126120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13227192879318).

10657126120000 is an abundant number, since it is smaller than the sum of its proper divisors (15797259638636).

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

10657126120000 is an frugal number, since it uses more digits than its factorization.

10657126120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284106 (or 284081 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

Adding to 10657126120000 its reverse (2162175601), we get a palindrome (10659288295601).

The spelling of 10657126120000 in words is "ten trillion, six hundred fifty-seven billion, one hundred twenty-six million, one hundred twenty thousand".