1975059406848 has 448 divisors, whose sum is σ = 5866235907840. Its totient is φ = 586049126400.

The previous prime is 1975059406813. The next prime is 1975059406867. The reversal of 1975059406848 is 8486049505791.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2858262183 + ... + 2858262873.

It is an arithmetic number, because the mean of its divisors is an integer number (13094276580).

Almost surely, 2^{1975059406848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1975059406848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933117953920).

1975059406848 is an abundant number, since it is smaller than the sum of its proper divisors (3891176500992).

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

1975059406848 is a wasteful number, since it uses less digits than its factorization.

1975059406848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 66.

The spelling of 1975059406848 in words is "one trillion, nine hundred seventy-five billion, fifty-nine million, four hundred six thousand, eight hundred forty-eight".