1975544025840 has 1920 divisors, whose sum is σ = 9091989504000. Its totient is φ = 372003840000.

The previous prime is 1975544025827. The next prime is 1975544025841. The reversal of 1975544025840 is 485204455791.

1975544025840 is a `hidden beast` number, since 1 + 9 + 7 + 5 + 54 + 4 + 0 + 2 + 584 + 0 = 666.

It is a super-2 number, since 2×1975544025840² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1975544025841) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3298069861 + ... + 3298070459.

It is an arithmetic number, because the mean of its divisors is an integer number (4735411200).

Almost surely, 2^{1975544025840} is an apocalyptic number.

1975544025840 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 1975544025840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545994752000).

1975544025840 is an abundant number, since it is smaller than the sum of its proper divisors (7116445478160).

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

1975544025840 is a wasteful number, since it uses less digits than its factorization.

1975544025840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 1975544025840 in words is "one trillion, nine hundred seventy-five billion, five hundred forty-four million, twenty-five thousand, eight hundred forty".