1038667871560 has 128 divisors (see below), whose sum is σ = 2560417516800. Its totient is φ = 376077312000.

The previous prime is 1038667871557. The next prime is 1038667871567. The reversal of 1038667871560 is 651787668301.

It is a junction number, because it is equal to n+sod(n) for n = 1038667871495 and 1038667871504.

It is not an unprimeable number, because it can be changed into a prime (1038667871567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100631200 + ... + 100641520.

It is an arithmetic number, because the mean of its divisors is an integer number (20003261850).

Almost surely, 2^{1038667871560} is an apocalyptic number.

1038667871560 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 1038667871560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280208758400).

1038667871560 is an abundant number, since it is smaller than the sum of its proper divisors (1521749645240).

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

1038667871560 is a wasteful number, since it uses less digits than its factorization.

1038667871560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11303 (or 11299 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 1038667871560 in words is "one trillion, thirty-eight billion, six hundred sixty-seven million, eight hundred seventy-one thousand, five hundred sixty".