1981925098560 has 448 divisors, whose sum is σ = 7652366346240. Its totient is φ = 478894602240.

The previous prime is 1981925098541. The next prime is 1981925098561. The reversal of 1981925098560 is 658905291891.

1981925098560 is a `hidden beast` number, since 1 + 9 + 8 + 19 + 2 + 50 + 9 + 8 + 560 = 666.

It is not an unprimeable number, because it can be changed into a prime (1981925098561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29143317 + ... + 29211243.

It is an arithmetic number, because the mean of its divisors is an integer number (17081174880).

Almost surely, 2^{1981925098560} is an apocalyptic number.

1981925098560 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 1981925098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826183173120).

1981925098560 is an abundant number, since it is smaller than the sum of its proper divisors (5670441247680).

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

1981925098560 is a wasteful number, since it uses less digits than its factorization.

1981925098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68271 (or 68255 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 63.

The spelling of 1981925098560 in words is "one trillion, nine hundred eighty-one billion, nine hundred twenty-five million, ninety-eight thousand, five hundred sixty".