1300166685792 has 768 divisors, whose sum is σ = 4514033664000. Its totient is φ = 360445593600.

The previous prime is 1300166685791. The next prime is 1300166685799. The reversal of 1300166685792 is 2975866610031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300166685791) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 390321567 + ... + 390324897.

It is an arithmetic number, because the mean of its divisors is an integer number (5877648000).

Almost surely, 2^{1300166685792} is an apocalyptic number.

1300166685792 is a gapful number since it is divisible by the number (12) 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 1300166685792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257016832000).

1300166685792 is an abundant number, since it is smaller than the sum of its proper divisors (3213866978208).

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

1300166685792 is a wasteful number, since it uses less digits than its factorization.

1300166685792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1300166685792 in words is "one trillion, three hundred billion, one hundred sixty-six million, six hundred eighty-five thousand, seven hundred ninety-two".