1952311325328 has 960 divisors, whose sum is σ = 7306172375040. Its totient is φ = 494199014400.

The previous prime is 1952311325309. The next prime is 1952311325353. The reversal of 1952311325328 is 8235231132591.

1952311325328 is a `hidden beast` number, since 1 + 9 + 5 + 2 + 311 + 3 + 2 + 5 + 328 = 666.

It is a super-2 number, since 2×1952311325328² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1117521351 + ... + 1117523097.

It is an arithmetic number, because the mean of its divisors is an integer number (7610596224).

Almost surely, 2^{1952311325328} is an apocalyptic number.

1952311325328 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 1952311325328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653086187520).

1952311325328 is an abundant number, since it is smaller than the sum of its proper divisors (5353861049712).

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

1952311325328 is a wasteful number, since it uses less digits than its factorization.

1952311325328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1934 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 1952311325328 in words is "one trillion, nine hundred fifty-two billion, three hundred eleven million, three hundred twenty-five thousand, three hundred twenty-eight".