10486137984 has 192 divisors, whose sum is σ = 32590958400. Its totient is φ = 2978519040.

The previous prime is 10486137979. The next prime is 10486138021. The reversal of 10486137984 is 48973168401.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 3404157 + ... + 3407235.

It is an arithmetic number, because the mean of its divisors is an integer number (169744575).

Almost surely, 2^10486137984 is an apocalyptic number.

10486137984 is a gapful number since it is divisible by the number (14) 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 10486137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16295479200).

10486137984 is an abundant number, since it is smaller than the sum of its proper divisors (22104820416).

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

10486137984 is a wasteful number, since it uses less digits than its factorization.

10486137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

It can be divided in two parts, 104861 and 37984, that added together give a triangular number (142845 = T₅₃₄).

The spelling of 10486137984 in words is "ten billion, four hundred eighty-six million, one hundred thirty-seven thousand, nine hundred eighty-four".