1166668687400 has 24 divisors (see below), whose sum is σ = 2712504698670. Its totient is φ = 466667474880.

The previous prime is 1166668687367. The next prime is 1166668687409. The reversal of 1166668687400 is 47868666611.

It can be written as a sum of positive squares in 3 ways, for example, as 1115038850116 + 51629837284 = 1055954^2 + 227222^2 .

It is a super-2 number, since 2×1166668687400² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1166668687400.

It is not an unprimeable number, because it can be changed into a prime (1166668687409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2916671519 + ... + 2916671918.

Almost surely, 2^{1166668687400} is an apocalyptic number.

1166668687400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1166668687400 is an abundant number, since it is smaller than the sum of its proper divisors (1545836011270).

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

1166668687400 is a wasteful number, since it uses less digits than its factorization.

1166668687400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5833343453 (or 5833343444 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 59.

The spelling of 1166668687400 in words is "one trillion, one hundred sixty-six billion, six hundred sixty-eight million, six hundred eighty-seven thousand, four hundred".