8200757090461 has 64 divisors (see below), whose sum is σ = 9581178700800. Its totient is φ = 6959559720960.

The previous prime is 8200757090443. The next prime is 8200757090497. The reversal of 8200757090461 is 1640907570028.

It is a cyclic number.

It is not a de Polignac number, because 8200757090461 - 2⁹ = 8200757089949 is a prime.

It is a super-2 number, since 2×8200757090461² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8200757090261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231321865 + ... + 231357313.

It is an arithmetic number, because the mean of its divisors is an integer number (149705917200).

Almost surely, 2^{8200757090461} is an apocalyptic number.

It is an amenable number.

8200757090461 is a deficient number, since it is larger than the sum of its proper divisors (1380421610339).

8200757090461 is a wasteful number, since it uses less digits than its factorization.

8200757090461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35806.

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 8200757090461 in words is "eight trillion, two hundred billion, seven hundred fifty-seven million, ninety thousand, four hundred sixty-one".