82376954401 has 32 divisors (see below), whose sum is σ = 101899365120. Its totient is φ = 65007360000.

The previous prime is 82376954393. The next prime is 82376954411. The reversal of 82376954401 is 10445967328.

It is a happy number.

It is not a de Polignac number, because 82376954401 - 2³ = 82376954393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82376954411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4325901 + ... + 4344901.

It is an arithmetic number, because the mean of its divisors is an integer number (3184355160).

It is a 2-persistent number, because it is pandigital, and so is 2⋅82376954401 = 164753908802, but 3⋅82376954401 = 247130863203 is not.

Almost surely, 2^82376954401 is an apocalyptic number.

82376954401 is the 234346-th pentagonal number.

It is an amenable number.

82376954401 is a deficient number, since it is larger than the sum of its proper divisors (19522410719).

82376954401 is a wasteful number, since it uses less digits than its factorization.

82376954401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19945.

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 82376954401 in words is "eighty-two billion, three hundred seventy-six million, nine hundred fifty-four thousand, four hundred one".