1381577906560 has 128 divisors (see below), whose sum is σ = 3329951290560. Its totient is φ = 548105625600.

The previous prime is 1381577906519. The next prime is 1381577906573. The reversal of 1381577906560 is 656097751831.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1381577906495 and 1381577906504.

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, 63094974 + ... + 63116866.

Almost surely, 2^{1381577906560} is an apocalyptic number.

1381577906560 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 1381577906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664975645280).

1381577906560 is an abundant number, since it is smaller than the sum of its proper divisors (1948373384000).

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

1381577906560 is a wasteful number, since it uses less digits than its factorization.

1381577906560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22716 (or 22704 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 58.

The spelling of 1381577906560 in words is "one trillion, three hundred eighty-one billion, five hundred seventy-seven million, nine hundred six thousand, five hundred sixty".