1021601756160 has 880 divisors, whose sum is σ = 3806374556160. Its totient is φ = 261731450880.

The previous prime is 1021601756143. The next prime is 1021601756171. The reversal of 1021601756160 is 616571061201.

It is a happy number.

1021601756160 is a `hidden beast` number, since 1 + 0 + 21 + 6 + 0 + 17 + 5 + 616 + 0 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 2944097107 + ... + 2944097453.

It is an arithmetic number, because the mean of its divisors is an integer number (4325425632).

Almost surely, 2^{1021601756160} is an apocalyptic number.

1021601756160 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 1021601756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903187278080).

1021601756160 is an abundant number, since it is smaller than the sum of its proper divisors (2784772800000).

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

1021601756160 is a wasteful number, since it uses less digits than its factorization.

1021601756160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 1021601756160 in words is "one trillion, twenty-one billion, six hundred one million, seven hundred fifty-six thousand, one hundred sixty".