82073541150720 has 1536 divisors, whose sum is σ = 352834320384000. Its totient is φ = 17690614824960.

The previous prime is 82073541150709. The next prime is 82073541150751. The reversal of 82073541150720 is 2705114537028.

82073541150720 is a `hidden beast` number, since 8 + 2 + 0 + 73 + 54 + 1 + 1 + 507 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3160429896 + ... + 3160455864.

It is an arithmetic number, because the mean of its divisors is an integer number (229709844000).

Almost surely, 2^{82073541150720} is an apocalyptic number.

82073541150720 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 82073541150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176417160192000).

82073541150720 is an abundant number, since it is smaller than the sum of its proper divisors (270760779233280).

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

82073541150720 is a wasteful number, since it uses less digits than its factorization.

82073541150720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26106 (or 26080 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

Adding to 82073541150720 its reverse (2705114537028), we get a palindrome (84778655687748).

The spelling of 82073541150720 in words is "eighty-two trillion, seventy-three billion, five hundred forty-one million, one hundred fifty thousand, seven hundred twenty".