1161507824640 has 176 divisors, whose sum is σ = 4127789583360. Its totient is φ = 309735383040.

The previous prime is 1161507824597. The next prime is 1161507824647. The reversal of 1161507824640 is 464287051611.

1161507824640 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 507 + 82 + 4 + 64 + 0 = 666.

It is a super-2 number, since 2×1161507824640² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1161507824647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4062816 + ... + 4339295.

Almost surely, 2^{1161507824640} is an apocalyptic number.

1161507824640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1161507824640 is an abundant number, since it is smaller than the sum of its proper divisors (2966281758720).

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

1161507824640 is an equidigital number, since it uses as much as digits as its factorization.

1161507824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8402145 (or 8402121 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1161507824640 in words is "one trillion, one hundred sixty-one billion, five hundred seven million, eight hundred twenty-four thousand, six hundred forty".