1020687871104 has 384 divisors, whose sum is σ = 3226846034880. Its totient is φ = 307118407680.

The previous prime is 1020687871097. The next prime is 1020687871223. The reversal of 1020687871104 is 4011787860201.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1020687871104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1951601787 + ... + 1951602309.

Almost surely, 2^{1020687871104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020687871104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613423017440).

1020687871104 is an abundant number, since it is smaller than the sum of its proper divisors (2206158163776).

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

1020687871104 is a wasteful number, since it uses less digits than its factorization.

1020687871104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 1020687871104 in words is "one trillion, twenty billion, six hundred eighty-seven million, eight hundred seventy-one thousand, one hundred four".