1020615020832 has 288 divisors, whose sum is σ = 3205029207744. Its totient is φ = 281042944000.

The previous prime is 1020615020819. The next prime is 1020615020833. The reversal of 1020615020832 is 2380205160201.

It is a self number, because there is not a number n which added to its sum of digits gives 1020615020832.

It is not an unprimeable number, because it can be changed into a prime (1020615020833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15063832 + ... + 15131432.

It is an arithmetic number, because the mean of its divisors is an integer number (11128573638).

Almost surely, 2^{1020615020832} is an apocalyptic number.

1020615020832 is a gapful number since it is divisible by the number (12) 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 1020615020832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602514603872).

1020615020832 is an abundant number, since it is smaller than the sum of its proper divisors (2184414186912).

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

1020615020832 is a wasteful number, since it uses less digits than its factorization.

1020615020832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67700 (or 67663 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 1020615020832 in words is "one trillion, twenty billion, six hundred fifteen million, twenty thousand, eight hundred thirty-two".