1948995796960 has 432 divisors, whose sum is σ = 5019281733312. Its totient is φ = 714794250240.

The previous prime is 1948995796949. The next prime is 1948995796961. The reversal of 1948995796960 is 696975998491.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948995796961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9893379582 + ... + 9893379778.

It is an arithmetic number, because the mean of its divisors is an integer number (11618707716).

Almost surely, 2^{1948995796960} is an apocalyptic number.

1948995796960 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 1948995796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509640866656).

1948995796960 is an abundant number, since it is smaller than the sum of its proper divisors (3070285936352).

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

1948995796960 is a wasteful number, since it uses less digits than its factorization.

1948995796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2380855680, while the sum is 82.

The spelling of 1948995796960 in words is "one trillion, nine hundred forty-eight billion, nine hundred ninety-five million, seven hundred ninety-six thousand, nine hundred sixty".