1072535166976 has 224 divisors, whose sum is σ = 2644892490240. Its totient is φ = 423501889536.

The previous prime is 1072535166971. The next prime is 1072535166977. The reversal of 1072535166976 is 6796615352701.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 1072535166976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072535166971) 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, 541957155 + ... + 541959133.

It is an arithmetic number, because the mean of its divisors is an integer number (11807555760).

Almost surely, 2^{1072535166976} is an apocalyptic number.

1072535166976 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 1072535166976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322446245120).

1072535166976 is an abundant number, since it is smaller than the sum of its proper divisors (1572357323264).

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

1072535166976 is an equidigital number, since it uses as much as digits as its factorization.

1072535166976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 58.

The spelling of 1072535166976 in words is "one trillion, seventy-two billion, five hundred thirty-five million, one hundred sixty-six thousand, nine hundred seventy-six".