10511142600712 has 128 divisors (see below), whose sum is σ = 22681422489600. Its totient is φ = 4529542348800.

The previous prime is 10511142600709. The next prime is 10511142600727. The reversal of 10511142600712 is 21700624111501.

It is a happy number.

It is a super-2 number, since 2×10511142600712² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127767912 + ... + 127850152.

It is an arithmetic number, because the mean of its divisors is an integer number (177198613200).

Almost surely, 2^{10511142600712} 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 10511142600712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340711244800).

10511142600712 is an abundant number, since it is smaller than the sum of its proper divisors (12170279888888).

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

10511142600712 is a wasteful number, since it uses less digits than its factorization.

10511142600712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83687 (or 83683 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 31.

The spelling of 10511142600712 in words is "ten trillion, five hundred eleven billion, one hundred forty-two million, six hundred thousand, seven hundred twelve".