1166648279040 has 640 divisors, whose sum is σ = 4239933984000. Its totient is φ = 304254812160.

The previous prime is 1166648279011. The next prime is 1166648279051. The reversal of 1166648279040 is 409728466611.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1166648279040² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3751280485 + ... + 3751280795.

It is an arithmetic number, because the mean of its divisors is an integer number (6624896850).

Almost surely, 2^{1166648279040} is an apocalyptic number.

1166648279040 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 1166648279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119966992000).

1166648279040 is an abundant number, since it is smaller than the sum of its proper divisors (3073285704960).

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

1166648279040 is an frugal number, since it uses more digits than its factorization.

1166648279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1166648279040 in words is "one trillion, one hundred sixty-six billion, six hundred forty-eight million, two hundred seventy-nine thousand, forty".