1072968959160 has 384 divisors, whose sum is σ = 4189552174080. Its totient is φ = 241889338368.

The previous prime is 1072968959147. The next prime is 1072968959173. The reversal of 1072968959160 is 619598692701.

1072968959160 is a `hidden beast` number, since 10 + 7 + 29 + 6 + 8 + 9 + 591 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1072968959147) and next prime (1072968959173).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4858909 + ... + 5074931.

It is an arithmetic number, because the mean of its divisors is an integer number (10910292120).

Almost surely, 2^{1072968959160} is an apocalyptic number.

1072968959160 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 1072968959160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094776087040).

1072968959160 is an abundant number, since it is smaller than the sum of its proper divisors (3116583214920).

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

1072968959160 is a wasteful number, since it uses less digits than its factorization.

1072968959160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216129 (or 216113 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 1072968959160 in words is "one trillion, seventy-two billion, nine hundred sixty-eight million, nine hundred fifty-nine thousand, one hundred sixty".