1305925987680 has 288 divisors, whose sum is σ = 4694324544000. Its totient is φ = 329686004736.

The previous prime is 1305925987679. The next prime is 1305925987697. The reversal of 1305925987680 is 867895295031.

1305925987680 is a `hidden beast` number, since 1 + 30 + 5 + 9 + 2 + 598 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40668271 + ... + 40700369.

It is an arithmetic number, because the mean of its divisors is an integer number (16299738000).

Almost surely, 2^{1305925987680} is an apocalyptic number.

1305925987680 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 1305925987680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347162272000).

1305925987680 is an abundant number, since it is smaller than the sum of its proper divisors (3388398556320).

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

1305925987680 is a wasteful number, since it uses less digits than its factorization.

1305925987680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33626 (or 33615 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 1305925987680 in words is "one trillion, three hundred five billion, nine hundred twenty-five million, nine hundred eighty-seven thousand, six hundred eighty".