1072847748000 has 768 divisors, whose sum is σ = 4166883302400. Its totient is φ = 241145856000.

The previous prime is 1072847747947. The next prime is 1072847748017. The reversal of 1072847748000 is 8477482701.

It is a super-3 number, since 3×1072847748000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 251073864 + ... + 251078136.

It is an arithmetic number, because the mean of its divisors is an integer number (5425629300).

Almost surely, 2^{1072847748000} is an apocalyptic number.

1072847748000 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 1072847748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083441651200).

1072847748000 is an abundant number, since it is smaller than the sum of its proper divisors (3094035554400).

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

1072847748000 is an equidigital number, since it uses as much as digits as its factorization.

1072847748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 48.

The spelling of 1072847748000 in words is "one trillion, seventy-two billion, eight hundred forty-seven million, seven hundred forty-eight thousand".