1160298095040 has 1568 divisors, whose sum is σ = 5121126460800. Its totient is φ = 249317720064.

The previous prime is 1160298095009. The next prime is 1160298095041. The reversal of 1160298095040 is 405908920611.

1160298095040 is a `hidden beast` number, since 1 + 1 + 60 + 2 + 9 + 80 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1568).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1160298095041) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1360255254 + ... + 1360256106.

Almost surely, 2^{1160298095040} is an apocalyptic number.

1160298095040 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 1160298095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560563230400).

1160298095040 is an abundant number, since it is smaller than the sum of its proper divisors (3960828365760).

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

1160298095040 is an frugal number, since it uses more digits than its factorization.

1160298095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1160298095040 in words is "one trillion, one hundred sixty billion, two hundred ninety-eight million, ninety-five thousand, forty".