1071873183072 has 96 divisors (see below), whose sum is σ = 2821834955520. Its totient is φ = 356254778880.

The previous prime is 1071873183071. The next prime is 1071873183077. The reversal of 1071873183072 is 2703813781701.

1071873183072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1071873183072² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071873183071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94158693 + ... + 94170075.

It is an arithmetic number, because the mean of its divisors is an integer number (29394114120).

Almost surely, 2^{1071873183072} is an apocalyptic number.

1071873183072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1071873183072 is an abundant number, since it is smaller than the sum of its proper divisors (1749961772448).

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

1071873183072 is a wasteful number, since it uses less digits than its factorization.

1071873183072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14156 (or 14148 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 48.

The spelling of 1071873183072 in words is "one trillion, seventy-one billion, eight hundred seventy-three million, one hundred eighty-three thousand, seventy-two".