1983610050240 has 1792 divisors, whose sum is σ = 8623157760000. Its totient is φ = 382820401152.

The previous prime is 1983610050217. The next prime is 1983610050271. The reversal of 1983610050240 is 420500163891.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 68400346546 + ... + 68400346574.

It is an arithmetic number, because the mean of its divisors is an integer number (4812030000).

Almost surely, 2^{1983610050240} is an apocalyptic number.

1983610050240 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 1983610050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311578880000).

1983610050240 is an abundant number, since it is smaller than the sum of its proper divisors (6639547709760).

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

1983610050240 is an equidigital number, since it uses as much as digits as its factorization.

1983610050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 1983610050240 in words is "one trillion, nine hundred eighty-three billion, six hundred ten million, fifty thousand, two hundred forty".