82653103680 has 224 divisors, whose sum is σ = 302277328896. Its totient is φ = 18743187456.

The previous prime is 82653103657. The next prime is 82653103723. The reversal of 82653103680 is 8630135628.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805017 + ... + 901863.

Almost surely, 2^82653103680 is an apocalyptic number.

82653103680 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 82653103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151138664448).

82653103680 is an abundant number, since it is smaller than the sum of its proper divisors (219624225216).

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

82653103680 is a wasteful number, since it uses less digits than its factorization.

82653103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97001 (or 96991 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 82653103680 in words is "eighty-two billion, six hundred fifty-three million, one hundred three thousand, six hundred eighty".