1038745268280 has 384 divisors, whose sum is σ = 3789562682880. Its totient is φ = 245474426880.

The previous prime is 1038745268279. The next prime is 1038745268293. The reversal of 1038745268280 is 828625478301.

1038745268280 is a `hidden beast` number, since 1 + 0 + 38 + 7 + 4 + 526 + 8 + 2 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 6945652 + ... + 7093628.

It is an arithmetic number, because the mean of its divisors is an integer number (9868652820).

Almost surely, 2^{1038745268280} is an apocalyptic number.

1038745268280 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 1038745268280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894781341440).

1038745268280 is an abundant number, since it is smaller than the sum of its proper divisors (2750817414600).

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

1038745268280 is a wasteful number, since it uses less digits than its factorization.

1038745268280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148079 (or 148072 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1038745268280 in words is "one trillion, thirty-eight billion, seven hundred forty-five million, two hundred sixty-eight thousand, two hundred eighty".