1039048508160 has 1440 divisors, whose sum is σ = 4283267833152. Its totient is φ = 238241710080.

The previous prime is 1039048508083. The next prime is 1039048508207. The reversal of 1039048508160 is 618058409301.

1039048508160 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 0 + 485 + 0 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3139119195 + ... + 3139119525.

Almost surely, 2^{1039048508160} is an apocalyptic number.

1039048508160 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 1039048508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141633916576).

1039048508160 is an abundant number, since it is smaller than the sum of its proper divisors (3244219324992).

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

1039048508160 is a wasteful number, since it uses less digits than its factorization.

1039048508160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1039048508160 in words is "one trillion, thirty-nine billion, forty-eight million, five hundred eight thousand, one hundred sixty".