10767951216 has 320 divisors, whose sum is σ = 35637719040. Its totient is φ = 3080943360.

The previous prime is 10767951211. The next prime is 10767951281. The reversal of 10767951216 is 61215976701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10767951211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9070975 + ... + 9072161.

It is an arithmetic number, because the mean of its divisors is an integer number (111367872).

Almost surely, 2^10767951216 is an apocalyptic number.

10767951216 is a gapful number since it is divisible by the number (16) 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 10767951216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818859520).

10767951216 is an abundant number, since it is smaller than the sum of its proper divisors (24869767824).

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

10767951216 is a wasteful number, since it uses less digits than its factorization.

10767951216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 10767951216 in words is "ten billion, seven hundred sixty-seven million, nine hundred fifty-one thousand, two hundred sixteen".