10827631880 has 64 divisors (see below), whose sum is σ = 26278560000. Its totient is φ = 3991438080.

The previous prime is 10827631879. The next prime is 10827631907. The reversal of 10827631880 is 8813672801.

It is a super-2 number, since 2×10827631880² (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 311621 + ... + 344619.

It is an arithmetic number, because the mean of its divisors is an integer number (410602500).

Almost surely, 2^10827631880 is an apocalyptic number.

10827631880 is a gapful number since it is divisible by the number (10) 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 10827631880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13139280000).

10827631880 is an abundant number, since it is smaller than the sum of its proper divisors (15450928120).

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

10827631880 is a wasteful number, since it uses less digits than its factorization.

10827631880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33654 (or 33650 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The spelling of 10827631880 in words is "ten billion, eight hundred twenty-seven million, six hundred thirty-one thousand, eight hundred eighty".