82937144160000 has 1080 divisors, whose sum is σ = 333720947800240. Its totient is φ = 20415172608000.

The previous prime is 82937144159971. The next prime is 82937144160001. The reversal of 82937144160000 is 6144173928.

82937144160000 is a `hidden beast` number, since 8 + 2 + 9 + 37 + 1 + 4 + 4 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82937144160001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 505357956 + ... + 505522044.

Almost surely, 2^{82937144160000} is an apocalyptic number.

82937144160000 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 82937144160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166860473900120).

82937144160000 is an abundant number, since it is smaller than the sum of its proper divisors (250783803640240).

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

82937144160000 is an equidigital number, since it uses as much as digits as its factorization.

82937144160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164153 (or 164112 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 82937144160000 in words is "eighty-two trillion, nine hundred thirty-seven billion, one hundred forty-four million, one hundred sixty thousand".