10536780672 has 480 divisors, whose sum is σ = 35554586760. Its totient is φ = 3092981760.

The previous prime is 10536780647. The next prime is 10536780703. The reversal of 10536780672 is 27608763501.

It is a super-2 number, since 2×10536780672² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46417423 + ... + 46417649.

Almost surely, 2^10536780672 is an apocalyptic number.

10536780672 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 10536780672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17777293380).

10536780672 is an abundant number, since it is smaller than the sum of its proper divisors (25017806088).

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

10536780672 is a wasteful number, since it uses less digits than its factorization.

10536780672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10536780672 in words is "ten billion, five hundred thirty-six million, seven hundred eighty thousand, six hundred seventy-two".