1071655201520 has 160 divisors (see below), whose sum is σ = 2558108770560. Its totient is φ = 417385267200.

The previous prime is 1071655201459. The next prime is 1071655201541. The reversal of 1071655201520 is 251025561701.

It is a super-2 number, since 2×1071655201520² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 455828345 + ... + 455830695.

It is an arithmetic number, because the mean of its divisors is an integer number (15988179816).

Almost surely, 2^{1071655201520} is an apocalyptic number.

1071655201520 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 1071655201520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279054385280).

1071655201520 is an abundant number, since it is smaller than the sum of its proper divisors (1486453569040).

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

1071655201520 is a wasteful number, since it uses less digits than its factorization.

1071655201520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 35.

The spelling of 1071655201520 in words is "one trillion, seventy-one billion, six hundred fifty-five million, two hundred one thousand, five hundred twenty".