1293164884720 has 80 divisors (see below), whose sum is σ = 3039375869280. Its totient is φ = 511638656000.

The previous prime is 1293164884717. The next prime is 1293164884751. The reversal of 1293164884720 is 274884613921.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8154990 + ... + 8312050.

It is an arithmetic number, because the mean of its divisors is an integer number (37992198366).

Almost surely, 2^{1293164884720} is an apocalyptic number.

1293164884720 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 1293164884720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519687934640).

1293164884720 is an abundant number, since it is smaller than the sum of its proper divisors (1746210984560).

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

1293164884720 is a wasteful number, since it uses less digits than its factorization.

1293164884720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158194 (or 158188 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 1293164884720 in words is "one trillion, two hundred ninety-three billion, one hundred sixty-four million, eight hundred eighty-four thousand, seven hundred twenty".