1038676100000 has 432 divisors, whose sum is σ = 3211046229888. Its totient is φ = 323716800000.

The previous prime is 1038676099991. The next prime is 1038676100029. The reversal of 1038676100000 is 16768301.

It is a super-2 number, since 2×1038676100000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1038676100000.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84693869 + ... + 84706131.

It is an arithmetic number, because the mean of its divisors is an integer number (7432977384).

Almost surely, 2^{1038676100000} is an apocalyptic number.

1038676100000 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 1038676100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605523114944).

1038676100000 is an abundant number, since it is smaller than the sum of its proper divisors (2172370129888).

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

1038676100000 is an equidigital number, since it uses as much as digits as its factorization.

1038676100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12327 (or 12288 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 1038676100000 in words is "one trillion, thirty-eight billion, six hundred seventy-six million, one hundred thousand".