1955875941600 has 288 divisors, whose sum is σ = 7296148016640. Its totient is φ = 445810698240.

The previous prime is 1955875941529. The next prime is 1955875941631. The reversal of 1955875941600 is 61495785591.

It is a happy number.

It is a super-2 number, since 2×1955875941600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5869054 + ... + 6193346.

It is an arithmetic number, because the mean of its divisors is an integer number (25333847280).

Almost surely, 2^{1955875941600} is an apocalyptic number.

1955875941600 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 1955875941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648074008320).

1955875941600 is an abundant number, since it is smaller than the sum of its proper divisors (5340272075040).

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

1955875941600 is a wasteful number, since it uses less digits than its factorization.

1955875941600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324682 (or 324669 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 60.

The spelling of 1955875941600 in words is "one trillion, nine hundred fifty-five billion, eight hundred seventy-five million, nine hundred forty-one thousand, six hundred".