82089737754363 has 54 divisors (see below), whose sum is σ = 123385385476444. Its totient is φ = 54540341861688.

The previous prime is 82089737754313. The next prime is 82089737754413. The reversal of 82089737754363 is 36345773798028.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

82089737754363 is a `hidden beast` number, since 8 + 2 + 0 + 8 + 9 + 7 + 3 + 77 + 543 + 6 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (82089737754313) and next prime (82089737754413).

It is not a de Polignac number, because 82089737754363 - 2²⁹ = 82089200883451 is a prime.

It is a super-2 number, since 2×82089737754363² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82089737754291 and 82089737754300.

It is not an unprimeable number, because it can be changed into a prime (82089737754313) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 50703975568 + ... + 50703977186.

Almost surely, 2^{82089737754363} is an apocalyptic number.

82089737754363 is a deficient number, since it is larger than the sum of its proper divisors (41295647722081).

82089737754363 is an frugal number, since it uses more digits than its factorization.

82089737754363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 72.

The spelling of 82089737754363 in words is "eighty-two trillion, eighty-nine billion, seven hundred thirty-seven million, seven hundred fifty-four thousand, three hundred sixty-three".