1038210780672 has 320 divisors, whose sum is σ = 3321038064960. Its totient is φ = 318343053312.

The previous prime is 1038210780667. The next prime is 1038210780727. The reversal of 1038210780672 is 2760870128301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52645758 + ... + 52665474.

It is an arithmetic number, because the mean of its divisors is an integer number (10378243953).

Almost surely, 2^{1038210780672} is an apocalyptic number.

1038210780672 is a gapful number since it is divisible by the number (12) 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 1038210780672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660519032480).

1038210780672 is an abundant number, since it is smaller than the sum of its proper divisors (2282827284288).

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

1038210780672 is a wasteful number, since it uses less digits than its factorization.

1038210780672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20050 (or 20028 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1038210780672 in words is "one trillion, thirty-eight billion, two hundred ten million, seven hundred eighty thousand, six hundred seventy-two".