842751000000 has 1960 divisors, whose sum is σ = 3890714260720. Its totient is φ = 177811200000.

The previous prime is 842750999971. The next prime is 842751000083. The reversal of 842751000000 is 157248.

It is a tau number, because it is divible by the number of its divisors (1960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 842751000000 = 2300³ + 9400³ = 6300³ + 8400³.

It is a congruent number.

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 279 ways as a sum of consecutive naturals, for example, 64826999994 + ... + 64827000006.

Almost surely, 2^842751000000 is an apocalyptic number.

842751000000 is a gapful number since it is divisible by the number (80) 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 842751000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945357130360).

842751000000 is an abundant number, since it is smaller than the sum of its proper divisors (3047963260720).

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

842751000000 is an frugal number, since it uses more digits than its factorization.

842751000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 842751000000 its reverse (157248), we get a palindrome (842751157248).

842751000000 divided by its reverse (157248) gives a cube (5359375 = 175³).

The spelling of 842751000000 in words is "eight hundred forty-two billion, seven hundred fifty-one million", and thus it is an aban number.