82767136725504 has 3360 divisors, whose sum is σ = 337738804761600. Its totient is φ = 19966737530880.

The previous prime is 82767136725503. The next prime is 82767136725521. The reversal of 82767136725504 is 40552763176728.

It is a happy number.

82767136725504 is a `hidden beast` number, since 8 + 2 + 7 + 6 + 7 + 1 + 3 + 6 + 72 + 550 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (82767136725503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 225523533129 + ... + 225523533495.

Almost surely, 2^{82767136725504} is an apocalyptic number.

82767136725504 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82767136725504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168869402380800).

82767136725504 is an abundant number, since it is smaller than the sum of its proper divisors (254971668036096).

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

82767136725504 is a wasteful number, since it uses less digits than its factorization.

82767136725504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 82767136725504 in words is "eighty-two trillion, seven hundred sixty-seven billion, one hundred thirty-six million, seven hundred twenty-five thousand, five hundred four".