82355347620 has 576 divisors, whose sum is σ = 337894905600. Its totient is φ = 16460236800.

The previous prime is 82355347577. The next prime is 82355347643. The reversal of 82355347620 is 2674355328.

82355347620 is a `hidden beast` number, since 8 + 2 + 3 + 553 + 4 + 76 + 20 = 666.

It is a super-2 number, since 2×82355347620² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6529320 + ... + 6541920.

It is an arithmetic number, because the mean of its divisors is an integer number (586623100).

Almost surely, 2^82355347620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82355347620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168947452800).

82355347620 is an abundant number, since it is smaller than the sum of its proper divisors (255539557980).

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

82355347620 is a wasteful number, since it uses less digits than its factorization.

82355347620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12665 (or 12650 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 82355347620 in words is "eighty-two billion, three hundred fifty-five million, three hundred forty-seven thousand, six hundred twenty".