10511877312 has 168 divisors, whose sum is σ = 32525756640. Its totient is φ = 3235921920.

The previous prime is 10511877253. The next prime is 10511877317. The reversal of 10511877312 is 21377811501.

It is a super-2 number, since 2×10511877312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10511877317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370512 + ... + 397872.

Almost surely, 2^10511877312 is an apocalyptic number.

10511877312 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 10511877312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262878320).

10511877312 is an abundant number, since it is smaller than the sum of its proper divisors (22013879328).

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

10511877312 is a wasteful number, since it uses less digits than its factorization.

10511877312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27431 (or 27418 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 10511877312 in words is "ten billion, five hundred eleven million, eight hundred seventy-seven thousand, three hundred twelve".