1160967155040 has 960 divisors, whose sum is σ = 5123592714240. Its totient is φ = 240516034560.

The previous prime is 1160967155011. The next prime is 1160967155071. The reversal of 1160967155040 is 405517690611.

1160967155040 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 96 + 7 + 1 + 550 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 372222601 + ... + 372225719.

It is an arithmetic number, because the mean of its divisors is an integer number (5337075744).

Almost surely, 2^{1160967155040} is an apocalyptic number.

1160967155040 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 1160967155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561796357120).

1160967155040 is an abundant number, since it is smaller than the sum of its proper divisors (3962625559200).

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

1160967155040 is a wasteful number, since it uses less digits than its factorization.

1160967155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 1160967155040 in words is "one trillion, one hundred sixty billion, nine hundred sixty-seven million, one hundred fifty-five thousand, forty".