1048211832960 has 1024 divisors, whose sum is σ = 4113580032000. Its totient is φ = 251073478656.

The previous prime is 1048211832959. The next prime is 1048211832961. The reversal of 1048211832960 is 692381128401.

1048211832960 is a `hidden beast` number, since 1 + 0 + 482 + 1 + 1 + 83 + 2 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1048211832959) and next prime (1048211832961).

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

It is not an unprimeable number, because it can be changed into a prime (1048211832961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 959022174 + ... + 959023266.

It is an arithmetic number, because the mean of its divisors is an integer number (4017168000).

Almost surely, 2^{1048211832960} is an apocalyptic number.

1048211832960 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 1048211832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056790016000).

1048211832960 is an abundant number, since it is smaller than the sum of its proper divisors (3065368199040).

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

1048211832960 is a wasteful number, since it uses less digits than its factorization.

1048211832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1048211832960 in words is "one trillion, forty-eight billion, two hundred eleven million, eight hundred thirty-two thousand, nine hundred sixty".