1161516928000 has 1408 divisors, whose sum is σ = 3708134277120. Its totient is φ = 356843520000.

The previous prime is 1161516927997. The next prime is 1161516928001. The reversal of 1161516928000 is 8296151611.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1161516928001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13050751956 + ... + 13050752044.

Almost surely, 2^{1161516928000} is an apocalyptic number.

1161516928000 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 1161516928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854067138560).

1161516928000 is an abundant number, since it is smaller than the sum of its proper divisors (2546617349120).

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

1161516928000 is a wasteful number, since it uses less digits than its factorization.

1161516928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 40.

The spelling of 1161516928000 in words is "one trillion, one hundred sixty-one billion, five hundred sixteen million, nine hundred twenty-eight thousand".