82707002093760 has 896 divisors, whose sum is σ = 299191264496640. Its totient is φ = 19173688934400.

The previous prime is 82707002093759. The next prime is 82707002093761. The reversal of 82707002093760 is 6739020070728.

It is an interprime number because it is at equal distance from previous prime (82707002093759) and next prime (82707002093761).

It is not an unprimeable number, because it can be changed into a prime (82707002093761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15914371482 + ... + 15914376678.

Almost surely, 2^{82707002093760} is an apocalyptic number.

82707002093760 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 82707002093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149595632248320).

82707002093760 is an abundant number, since it is smaller than the sum of its proper divisors (216484262402880).

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

82707002093760 is a wasteful number, since it uses less digits than its factorization.

82707002093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The spelling of 82707002093760 in words is "eighty-two trillion, seven hundred seven billion, two million, ninety-three thousand, seven hundred sixty".