1965376983150 has 576 divisors, whose sum is σ = 6522332544000. Its totient is φ = 422931559680.

The previous prime is 1965376983137. The next prime is 1965376983263. The reversal of 1965376983150 is 513896735691.

1965376983150 is a `hidden beast` number, since 1 + 9 + 6 + 537 + 6 + 9 + 83 + 15 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 489750544 + ... + 489754556.

It is an arithmetic number, because the mean of its divisors is an integer number (11323494000).

Almost surely, 2^{1965376983150} is an apocalyptic number.

1965376983150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1965376983150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261166272000).

1965376983150 is an abundant number, since it is smaller than the sum of its proper divisors (4556955560850).

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

1965376983150 is a wasteful number, since it uses less digits than its factorization.

1965376983150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 1965376983150 in words is "one trillion, nine hundred sixty-five billion, three hundred seventy-six million, nine hundred eighty-three thousand, one hundred fifty".