1038522746880 has 576 divisors, whose sum is σ = 3744670849920. Its totient is φ = 276048248832.

The previous prime is 1038522746867. The next prime is 1038522746909. The reversal of 1038522746880 is 886472258301.

1038522746880 is a `hidden beast` number, since 1 + 0 + 3 + 85 + 2 + 27 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1211811412 + ... + 1211812268.

It is an arithmetic number, because the mean of its divisors is an integer number (6501164670).

Almost surely, 2^{1038522746880} is an apocalyptic number.

1038522746880 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 1038522746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872335424960).

1038522746880 is an abundant number, since it is smaller than the sum of its proper divisors (2706148103040).

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

1038522746880 is an frugal number, since it uses more digits than its factorization.

1038522746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1354 counting only the distinct ones).

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

The spelling of 1038522746880 in words is "one trillion, thirty-eight billion, five hundred twenty-two million, seven hundred forty-six thousand, eight hundred eighty".