1072524162880 has 224 divisors, whose sum is σ = 2813859565056. Its totient is φ = 387721691136.

The previous prime is 1072524162877. The next prime is 1072524162881. The reversal of 1072524162880 is 882614252701.

It is a super-2 number, since 2×1072524162880² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1072524162880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072524162881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13511467 + ... + 13590613.

Almost surely, 2^{1072524162880} is an apocalyptic number.

1072524162880 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 1072524162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406929782528).

1072524162880 is an abundant number, since it is smaller than the sum of its proper divisors (1741335402176).

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

1072524162880 is a wasteful number, since it uses less digits than its factorization.

1072524162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79281 (or 79271 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 1072524162880 in words is "one trillion, seventy-two billion, five hundred twenty-four million, one hundred sixty-two thousand, eight hundred eighty".