1072852842096 has 280 divisors, whose sum is σ = 3574991535104. Its totient is φ = 305391980160.

The previous prime is 1072852842077. The next prime is 1072852842137. The reversal of 1072852842096 is 6902482582701.

1072852842096 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 8 + 528 + 4 + 20 + 96 = 666.

1072852842096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22102365 + ... + 22150851.

Almost surely, 2^{1072852842096} is an apocalyptic number.

1072852842096 is a gapful number since it is divisible by the number (16) 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 1072852842096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787495767552).

1072852842096 is an abundant number, since it is smaller than the sum of its proper divisors (2502138693008).

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

1072852842096 is an equidigital number, since it uses as much as digits as its factorization.

1072852842096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48791 (or 48770 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1072852842096 in words is "one trillion, seventy-two billion, eight hundred fifty-two million, eight hundred forty-two thousand, ninety-six".