1356771880576 has 128 divisors (see below), whose sum is σ = 3163596226560. Its totient is φ = 567469808640.

The previous prime is 1356771880553. The next prime is 1356771880577. The reversal of 1356771880576 is 6750881776531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (1356771880577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47413665 + ... + 47442271.

It is an arithmetic number, because the mean of its divisors is an integer number (24715595520).

Almost surely, 2^{1356771880576} is an apocalyptic number.

1356771880576 is a gapful number since it is divisible by the number (16) 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 1356771880576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581798113280).

1356771880576 is an abundant number, since it is smaller than the sum of its proper divisors (1806824345984).

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

1356771880576 is a wasteful number, since it uses less digits than its factorization.

1356771880576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29902 (or 29890 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 64.

The spelling of 1356771880576 in words is "one trillion, three hundred fifty-six billion, seven hundred seventy-one million, eight hundred eighty thousand, five hundred seventy-six".