1950317998272 has 448 divisors, whose sum is σ = 6917009280000. Its totient is φ = 538014016512.

The previous prime is 1950317998249. The next prime is 1950317998273. The reversal of 1950317998272 is 2728997130591.

1950317998272 is a `hidden beast` number, since 1 + 9 + 503 + 17 + 9 + 98 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (1950317998273) 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, 17131683 + ... + 17245149.

Almost surely, 2^{1950317998272} is an apocalyptic number.

1950317998272 is a gapful number since it is divisible by the number (12) 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 1950317998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458504640000).

1950317998272 is an abundant number, since it is smaller than the sum of its proper divisors (4966691281728).

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

1950317998272 is a wasteful number, since it uses less digits than its factorization.

1950317998272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113538 (or 113508 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 1950317998272 in words is "one trillion, nine hundred fifty billion, three hundred seventeen million, nine hundred ninety-eight thousand, two hundred seventy-two".