1952358481920 has 480 divisors, whose sum is σ = 7788987472896. Its totient is φ = 405680947200.

The previous prime is 1952358481897. The next prime is 1952358481921. The reversal of 1952358481920 is 291848532591.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (1952358481921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18871935 + ... + 18975105.

Almost surely, 2^{1952358481920} is an apocalyptic number.

1952358481920 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 1952358481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894493736448).

1952358481920 is an abundant number, since it is smaller than the sum of its proper divisors (5836628990976).

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

1952358481920 is a wasteful number, since it uses less digits than its factorization.

1952358481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103225 (or 103199 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 57.

The spelling of 1952358481920 in words is "one trillion, nine hundred fifty-two billion, three hundred fifty-eight million, four hundred eighty-one thousand, nine hundred twenty".