82113098760000 has 5600 divisors, whose sum is σ = 423071753702400. Its totient is φ = 15198658560000.

The previous prime is 82113098759977. The next prime is 82113098760029. The reversal of 82113098760000 is 6789031128.

82113098760000 is a `hidden beast` number, since 8 + 2 + 1 + 1 + 30 + 9 + 8 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 799 ways as a sum of consecutive naturals, for example, 80582039491 + ... + 80582040509.

Almost surely, 2^{82113098760000} is an apocalyptic number.

82113098760000 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 82113098760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211535876851200).

82113098760000 is an abundant number, since it is smaller than the sum of its proper divisors (340958654942400).

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

82113098760000 is a wasteful number, since it uses less digits than its factorization.

82113098760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 82113098760000 in words is "eighty-two trillion, one hundred thirteen billion, ninety-eight million, seven hundred sixty thousand".