82156821626880 has 8640 divisors, whose sum is σ = 438584648785920. Its totient is φ = 14447384985600.

The previous prime is 82156821626851. The next prime is 82156821626897. The reversal of 82156821626880 is 8862612865128.

82156821626880 is a `hidden beast` number, since 8 + 2 + 1 + 568 + 2 + 1 + 6 + 2 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2650220052465 + ... + 2650220052495.

It is an arithmetic number, because the mean of its divisors is an integer number (50762112128).

Almost surely, 2^{82156821626880} is an apocalyptic number.

82156821626880 is a gapful number since it is divisible by the number (80) 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 82156821626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219292324392960).

82156821626880 is an abundant number, since it is smaller than the sum of its proper divisors (356427827159040).

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

82156821626880 is a wasteful number, since it uses less digits than its factorization.

82156821626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 82156821626880 in words is "eighty-two trillion, one hundred fifty-six billion, eight hundred twenty-one million, six hundred twenty-six thousand, eight hundred eighty".