1166905958400 has 1680 divisors, whose sum is σ = 5327205849504. Its totient is φ = 245885829120.

The previous prime is 1166905958389. The next prime is 1166905958423. The reversal of 1166905958400 is 48595096611.

1166905958400 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 9 + 0 + 59 + 584 + 0 + 0 = 666.

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

It is a super-4 number, since 4×1166905958400⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1509580414 + ... + 1509581186.

Almost surely, 2^{1166905958400} is an apocalyptic number.

1166905958400 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 1166905958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663602924752).

1166905958400 is an abundant number, since it is smaller than the sum of its proper divisors (4160299891104).

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

1166905958400 is an equidigital number, since it uses as much as digits as its factorization.

1166905958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 1166905958400 in words is "one trillion, one hundred sixty-six billion, nine hundred five million, nine hundred fifty-eight thousand, four hundred".