1011664442880 has 3360 divisors, whose sum is σ = 4882528373184. Its totient is φ = 198651543552.

The previous prime is 1011664442851. The next prime is 1011664442891. The reversal of 1011664442880 is 882444661101.

1011664442880 is a `hidden beast` number, since 10 + 116 + 6 + 4 + 442 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 27342282222 + ... + 27342282258.

Almost surely, 2^{1011664442880} is an apocalyptic number.

1011664442880 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 1011664442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441264186592).

1011664442880 is an abundant number, since it is smaller than the sum of its proper divisors (3870863930304).

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

1011664442880 is an equidigital number, since it uses as much as digits as its factorization.

1011664442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1011664442880 in words is "one trillion, eleven billion, six hundred sixty-four million, four hundred forty-two thousand, eight hundred eighty".