1072821359520 has 432 divisors, whose sum is σ = 3869233673760. Its totient is φ = 270649672704.

The previous prime is 1072821359513. The next prime is 1072821359521. The reversal of 1072821359520 is 259531282701.

1072821359520 is a `hidden beast` number, since 1 + 0 + 7 + 28 + 2 + 13 + 595 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1072821359521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 679430091 + ... + 679431669.

It is an arithmetic number, because the mean of its divisors is an integer number (8956559430).

Almost surely, 2^{1072821359520} is an apocalyptic number.

1072821359520 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 1072821359520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934616836880).

1072821359520 is an abundant number, since it is smaller than the sum of its proper divisors (2796412314240).

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

1072821359520 is a wasteful number, since it uses less digits than its factorization.

1072821359520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

It can be divided in two parts, 1072821 and 359520, that added together give a palindrome (1432341).

The spelling of 1072821359520 in words is "one trillion, seventy-two billion, eight hundred twenty-one million, three hundred fifty-nine thousand, five hundred twenty".