1959016429056 has 160 divisors (see below), whose sum is σ = 5250637687680. Its totient is φ = 649045868544.

The previous prime is 1959016428997. The next prime is 1959016429063. The reversal of 1959016429056 is 6509246109591.

It is a super-2 number, since 2×1959016429056² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1959016428987 and 1959016429005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451488135 + ... + 451492473.

It is an arithmetic number, because the mean of its divisors is an integer number (32816485548).

Almost surely, 2^{1959016429056} is an apocalyptic number.

1959016429056 is a gapful number since it is divisible by the number (16) 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 1959016429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625318843840).

1959016429056 is an abundant number, since it is smaller than the sum of its proper divisors (3291621258624).

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

1959016429056 is a wasteful number, since it uses less digits than its factorization.

1959016429056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6076 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 57.

The spelling of 1959016429056 in words is "one trillion, nine hundred fifty-nine billion, sixteen million, four hundred twenty-nine thousand, fifty-six".