1959919935048 has 896 divisors, whose sum is σ = 6371826249600. Its totient is φ = 561072365568.

The previous prime is 1959919935023. The next prime is 1959919935059. The reversal of 1959919935048 is 8405399199591.

1959919935048 is a `hidden beast` number, since 19 + 5 + 9 + 9 + 19 + 93 + 504 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6689146390 + ... + 6689146682.

It is an arithmetic number, because the mean of its divisors is an integer number (7111413225).

Almost surely, 2^{1959919935048} is an apocalyptic number.

1959919935048 is a gapful number since it is divisible by the number (18) 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 1959919935048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185913124800).

1959919935048 is an abundant number, since it is smaller than the sum of its proper divisors (4411906314552).

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

1959919935048 is a wasteful number, since it uses less digits than its factorization.

1959919935048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 141717600, while the sum is 72.

The spelling of 1959919935048 in words is "one trillion, nine hundred fifty-nine billion, nine hundred nineteen million, nine hundred thirty-five thousand, forty-eight".