82107410178720 has 48 divisors (see below), whose sum is σ = 258638342064480. Its totient is φ = 21895309380864.

The previous prime is 82107410178709. The next prime is 82107410178757. The reversal of 82107410178720 is 2787101470128.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×82107410178720³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 82107410178720.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 85528551790 + ... + 85528552749.

It is an arithmetic number, because the mean of its divisors is an integer number (5388298793010).

Almost surely, 2^{82107410178720} is an apocalyptic number.

82107410178720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82107410178720 is an abundant number, since it is smaller than the sum of its proper divisors (176530931885760).

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

82107410178720 is a wasteful number, since it uses less digits than its factorization.

82107410178720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171057104557 (or 171057104549 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 48.

The spelling of 82107410178720 in words is "eighty-two trillion, one hundred seven billion, four hundred ten million, one hundred seventy-eight thousand, seven hundred twenty".