1038002853888 has 2880 divisors, whose sum is σ = 4555065715200. Its totient is φ = 230756843520.

The previous prime is 1038002853859. The next prime is 1038002853947. The reversal of 1038002853888 is 8883582008301.

It is a happy number.

1038002853888 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 0 + 0 + 28 + 538 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22085167081 + ... + 22085167127.

It is an arithmetic number, because the mean of its divisors is an integer number (1581620040).

Almost surely, 2^{1038002853888} is an apocalyptic number.

1038002853888 is a gapful number since it is divisible by the number (18) 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 1038002853888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277532857600).

1038002853888 is an abundant number, since it is smaller than the sum of its proper divisors (3517062861312).

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

1038002853888 is a wasteful number, since it uses less digits than its factorization.

1038002853888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 1038002853888 in words is "one trillion, thirty-eight billion, two million, eight hundred fifty-three thousand, eight hundred eighty-eight".