82779632205501 has 48 divisors (see below), whose sum is σ = 138662106353792. Its totient is φ = 42998708269440.

The previous prime is 82779632205469. The next prime is 82779632205503. The reversal of 82779632205501 is 10550223697728.

It is not a de Polignac number, because 82779632205501 - 2⁵ = 82779632205469 is a prime.

It is a super-2 number, since 2×82779632205501² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82779632205503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28276311 + ... + 31066203.

Almost surely, 2^{82779632205501} is an apocalyptic number.

It is an amenable number.

82779632205501 is a deficient number, since it is larger than the sum of its proper divisors (55882474148291).

82779632205501 is a wasteful number, since it uses less digits than its factorization.

82779632205501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801602 (or 2801591 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 82779632205501 in words is "eighty-two trillion, seven hundred seventy-nine billion, six hundred thirty-two million, two hundred five thousand, five hundred one".