1038487827888 has 320 divisors, whose sum is σ = 3486950471680. Its totient is φ = 289798705152.

The previous prime is 1038487827887. The next prime is 1038487827901. The reversal of 1038487827888 is 8887287848301.

1038487827888 is a `hidden beast` number, since 10 + 38 + 487 + 8 + 27 + 8 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1038487827887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22714620 + ... + 22760292.

It is an arithmetic number, because the mean of its divisors is an integer number (10896720224).

Almost surely, 2^{1038487827888} is an apocalyptic number.

1038487827888 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 1038487827888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743475235840).

1038487827888 is an abundant number, since it is smaller than the sum of its proper divisors (2448462643792).

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

1038487827888 is a wasteful number, since it uses less digits than its factorization.

1038487827888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45873 (or 45861 counting only the distinct ones).

The product of its (nonzero) digits is 308281344, while the sum is 72.

It can be divided in two parts, 10384878 and 27888, that added together give a triangular number (10412766 = T₄₅₆₃).

The spelling of 1038487827888 in words is "one trillion, thirty-eight billion, four hundred eighty-seven million, eight hundred twenty-seven thousand, eight hundred eighty-eight".