1973542707792 has 60 divisors (see below), whose sum is σ = 5627389488084. Its totient is φ = 645435348480.

The previous prime is 1973542707791. The next prime is 1973542707793. The reversal of 1973542707792 is 2977072453791.

1973542707792 is a `hidden beast` number, since 1 + 9 + 7 + 354 + 270 + 7 + 7 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1973542707791) and next prime (1973542707793).

It can be written as a sum of positive squares in 2 ways, for example, as 1158068690496 + 815474017296 = 1076136^2 + 903036^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1973542707791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129286309 + ... + 129301572.

Almost surely, 2^{1973542707792} is an apocalyptic number.

1973542707792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1973542707792 is an abundant number, since it is smaller than the sum of its proper divisors (3653846780292).

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

1973542707792 is a wasteful number, since it uses less digits than its factorization.

1973542707792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258587948 (or 258587939 counting only the distinct ones).

The product of its (nonzero) digits is 46675440, while the sum is 63.

The spelling of 1973542707792 in words is "one trillion, nine hundred seventy-three billion, five hundred forty-two million, seven hundred seven thousand, seven hundred ninety-two".