1162642006080 has 672 divisors, whose sum is σ = 4372507180800. Its totient is φ = 290763177984.

The previous prime is 1162642006069. The next prime is 1162642006129. The reversal of 1162642006080 is 806002462611.

1162642006080 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 6 + 42 + 0 + 0 + 608 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 896407992 + ... + 896409288.

Almost surely, 2^{1162642006080} is an apocalyptic number.

1162642006080 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 1162642006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186253590400).

1162642006080 is an abundant number, since it is smaller than the sum of its proper divisors (3209865174720).

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

1162642006080 is a wasteful number, since it uses less digits than its factorization.

1162642006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 1162642006080 its reverse (806002462611), we get a palindrome (1968644468691).

The spelling of 1162642006080 in words is "one trillion, one hundred sixty-two billion, six hundred forty-two million, six thousand, eighty".