7953431796001 has 8 divisors (see below), whose sum is σ = 8030002738824. Its totient is φ = 7876969390080.

The previous prime is 7953431795993. The next prime is 7953431796049. The reversal of 7953431796001 is 1006971343597.

It can be written as a sum of positive squares in 4 ways, for example, as 45103565376 + 7908328230625 = 212376^2 + 2812175^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7953431796001 - 2³ = 7953431795993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7953431796091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26986960 + ... + 27280081.

It is an arithmetic number, because the mean of its divisors is an integer number (1003750342353).

Almost surely, 2^{7953431796001} is an apocalyptic number.

It is an amenable number.

7953431796001 is a deficient number, since it is larger than the sum of its proper divisors (76570942823).

7953431796001 is a wasteful number, since it uses less digits than its factorization.

7953431796001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54268451.

The product of its (nonzero) digits is 4286520, while the sum is 55.

The spelling of 7953431796001 in words is "seven trillion, nine hundred fifty-three billion, four hundred thirty-one million, seven hundred ninety-six thousand, one".