1161764520000 has 1680 divisors, whose sum is σ = 4711080971520. Its totient is φ = 251596800000.

The previous prime is 1161764519983. The next prime is 1161764520029. The reversal of 1161764520000 is 254671611.

It is a tau number, because it is divible by the number of its divisors (1680).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14705879961 + ... + 14705880039.

It is an arithmetic number, because the mean of its divisors is an integer number (2804214864).

Almost surely, 2^{1161764520000} is an apocalyptic number.

1161764520000 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 1161764520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355540485760).

1161764520000 is an abundant number, since it is smaller than the sum of its proper divisors (3549316451520).

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

1161764520000 is an equidigital number, since it uses as much as digits as its factorization.

1161764520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 1161764520000 in words is "one trillion, one hundred sixty-one billion, seven hundred sixty-four million, five hundred twenty thousand".