1331625735760 has 160 divisors (see below), whose sum is σ = 3406275912960. Its totient is φ = 481881083904.

The previous prime is 1331625735749. The next prime is 1331625735821. The reversal of 1331625735760 is 675375261331.

It is a super-2 number, since 2×1331625735760² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21399412 + ... + 21461548.

It is an arithmetic number, because the mean of its divisors is an integer number (21289224456).

Almost surely, 2^{1331625735760} is an apocalyptic number.

1331625735760 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 1331625735760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703137956480).

1331625735760 is an abundant number, since it is smaller than the sum of its proper divisors (2074650177200).

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

1331625735760 is a wasteful number, since it uses less digits than its factorization.

1331625735760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62805 (or 62799 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 49.

The spelling of 1331625735760 in words is "one trillion, three hundred thirty-one billion, six hundred twenty-five million, seven hundred thirty-five thousand, seven hundred sixty".