1958565563472 has 480 divisors, whose sum is σ = 6193173254400. Its totient is φ = 521804021760.

The previous prime is 1958565563401. The next prime is 1958565563473. The reversal of 1958565563472 is 2743655658591.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1958565563473) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1785382828 + ... + 1785383924.

It is an arithmetic number, because the mean of its divisors is an integer number (12902444280).

Almost surely, 2^{1958565563472} is an apocalyptic number.

1958565563472 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 1958565563472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096586627200).

1958565563472 is an abundant number, since it is smaller than the sum of its proper divisors (4234607690928).

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

1958565563472 is a wasteful number, since it uses less digits than its factorization.

1958565563472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1288 counting only the distinct ones).

The product of its digits is 272160000, while the sum is 66.

The spelling of 1958565563472 in words is "one trillion, nine hundred fifty-eight billion, five hundred sixty-five million, five hundred sixty-three thousand, four hundred seventy-two".