1961892459360 has 576 divisors, whose sum is σ = 7092746519040. Its totient is φ = 511991746560.

The previous prime is 1961892459353. The next prime is 1961892459361. The reversal of 1961892459360 is 639542981691.

1961892459360 is a `hidden beast` number, since 1 + 9 + 6 + 18 + 9 + 24 + 593 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961892459361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383704164 + ... + 383709276.

It is an arithmetic number, because the mean of its divisors is an integer number (12313796040).

Almost surely, 2^{1961892459360} is an apocalyptic number.

1961892459360 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 1961892459360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546373259520).

1961892459360 is an abundant number, since it is smaller than the sum of its proper divisors (5130854059680).

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

1961892459360 is a wasteful number, since it uses less digits than its factorization.

1961892459360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 1961892459360 in words is "one trillion, nine hundred sixty-one billion, eight hundred ninety-two million, four hundred fifty-nine thousand, three hundred sixty".