10486876667904 has 1360 divisors, whose sum is σ = 40861411512768. Its totient is φ = 2601038905344.

The previous prime is 10486876667903. The next prime is 10486876667963. The reversal of 10486876667904 is 40976667868401.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10486876667903) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8212118914 + ... + 8212120190.

Almost surely, 2^{10486876667904} is an apocalyptic number.

10486876667904 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 10486876667904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20430705756384).

10486876667904 is an abundant number, since it is smaller than the sum of its proper divisors (30374534844864).

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

10486876667904 is an equidigital number, since it uses as much as digits as its factorization.

10486876667904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 10486876667904 in words is "ten trillion, four hundred eighty-six billion, eight hundred seventy-six million, six hundred sixty-seven thousand, nine hundred four".