1171021662720 has 1440 divisors, whose sum is σ = 5154922845072. Its totient is φ = 243465191424.

The previous prime is 1171021662677. The next prime is 1171021662743. The reversal of 1171021662720 is 272661201711.

1171021662720 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 0 + 2 + 1 + 6 + 627 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 701654171904 + 469367490816 = 837648^2 + 685104^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1071382494 + ... + 1071383586.

Almost surely, 2^{1171021662720} is an apocalyptic number.

1171021662720 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 1171021662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577461422536).

1171021662720 is an abundant number, since it is smaller than the sum of its proper divisors (3983901182352).

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

1171021662720 is a wasteful number, since it uses less digits than its factorization.

1171021662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 1171021662720 in words is "one trillion, one hundred seventy-one billion, twenty-one million, six hundred sixty-two thousand, seven hundred twenty".