1166870367520 has 384 divisors, whose sum is σ = 3470884784640. Its totient is φ = 364515655680.

The previous prime is 1166870367517. The next prime is 1166870367529. The reversal of 1166870367520 is 257630786611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (1166870367529) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19440916 + ... + 19500844.

It is an arithmetic number, because the mean of its divisors is an integer number (9038762460).

Almost surely, 2^{1166870367520} is an apocalyptic number.

1166870367520 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 1166870367520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735442392320).

1166870367520 is an abundant number, since it is smaller than the sum of its proper divisors (2304014417120).

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

1166870367520 is a wasteful number, since it uses less digits than its factorization.

1166870367520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60028 (or 60020 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 1166870367520 in words is "one trillion, one hundred sixty-six billion, eight hundred seventy million, three hundred sixty-seven thousand, five hundred twenty".