10877738624 has 64 divisors (see below), whose sum is σ = 22188702600. Its totient is φ = 5310136320.

The previous prime is 10877738623. The next prime is 10877738633. The reversal of 10877738624 is 42683777801.

It can be written as a sum of positive squares in 4 ways, for example, as 9325378624 + 1552360000 = 96568^2 + 39400^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10877738624² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10877738623) 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 7 ways as a sum of consecutive naturals, for example, 1064612 + ... + 1074780.

Almost surely, 2^10877738624 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 10877738624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11094351300).

10877738624 is an abundant number, since it is smaller than the sum of its proper divisors (11310963976).

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

10877738624 is a wasteful number, since it uses less digits than its factorization.

10877738624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10381 (or 10369 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 53.

The spelling of 10877738624 in words is "ten billion, eight hundred seventy-seven million, seven hundred thirty-eight thousand, six hundred twenty-four".