82550151395712 has 3072 divisors, whose sum is σ = 339519817728000. Its totient is φ = 19275721113600.

The previous prime is 82550151395683. The next prime is 82550151395717. The reversal of 82550151395712 is 21759315105528.

82550151395712 is a `hidden beast` number, since 8 + 2 + 5 + 50 + 1 + 5 + 13 + 9 + 571 + 2 = 666.

It is a super-2 number, since 2×82550151395712² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82550151395717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 236533384914 + ... + 236533385262.

It is an arithmetic number, because the mean of its divisors is an integer number (110520774000).

Almost surely, 2^{82550151395712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82550151395712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169759908864000).

82550151395712 is an abundant number, since it is smaller than the sum of its proper divisors (256969666332288).

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

82550151395712 is a wasteful number, since it uses less digits than its factorization.

82550151395712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 54.

The spelling of 82550151395712 in words is "eighty-two trillion, five hundred fifty billion, one hundred fifty-one million, three hundred ninety-five thousand, seven hundred twelve".