82953319680 has 864 divisors, whose sum is σ = 378948181248. Its totient is φ = 16220160000.

The previous prime is 82953319651. The next prime is 82953319699. The reversal of 82953319680 is 8691335928.

82953319680 is a `hidden beast` number, since 8 + 29 + 533 + 1 + 9 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15076930 + ... + 15082430.

It is an arithmetic number, because the mean of its divisors is an integer number (438597432).

Almost surely, 2^82953319680 is an apocalyptic number.

82953319680 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 82953319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189474090624).

82953319680 is an abundant number, since it is smaller than the sum of its proper divisors (295994861568).

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

82953319680 is a wasteful number, since it uses less digits than its factorization.

82953319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5563 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 82953319680 in words is "eighty-two billion, nine hundred fifty-three million, three hundred nineteen thousand, six hundred eighty".