1975265574912 has 1200 divisors, whose sum is σ = 7348531886080. Its totient is φ = 517411307520.

The previous prime is 1975265574901. The next prime is 1975265574929. The reversal of 1975265574912 is 2194755625791.

It is a happy number.

1975265574912 is a `hidden beast` number, since 1 + 9 + 7 + 5 + 26 + 557 + 49 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (47628000) is a multiple of the sum of its prime factors (135).

It is a self number, because there is not a number n which added to its sum of digits gives 1975265574912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63718244337 + ... + 63718244367.

Almost surely, 2^{1975265574912} is an apocalyptic number.

1975265574912 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 1975265574912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674265943040).

1975265574912 is an abundant number, since it is smaller than the sum of its proper divisors (5373266311168).

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

1975265574912 is an frugal number, since it uses more digits than its factorization.

1975265574912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 62 counting only the distinct ones).

The product of its digits is 47628000, while the sum is 63.

The spelling of 1975265574912 in words is "one trillion, nine hundred seventy-five billion, two hundred sixty-five million, five hundred seventy-four thousand, nine hundred twelve".