82653553960000 has 315 divisors, whose sum is σ = 207127332198787. Its totient is φ = 32714493760000.

The previous prime is 82653553959961. The next prime is 82653553960037. The reversal of 82653553960000 is 6935535628.

The square root of 82653553960000 is 9091400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 6480038630464 + 76173515329536 = 2545592^2 + 8727744^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82653553960000.

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 44 ways as a sum of consecutive naturals, for example, 238194679827 + ... + 238194680173.

Almost surely, 2^{82653553960000} is an apocalyptic number.

82653553960000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

82653553960000 is the 9091400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82653553960000

82653553960000 is an abundant number, since it is smaller than the sum of its proper divisors (124473778238787).

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

82653553960000 is an frugal number, since it uses more digits than its factorization.

82653553960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 52.

The spelling of 82653553960000 in words is "eighty-two trillion, six hundred fifty-three billion, five hundred fifty-three million, nine hundred sixty thousand".