82152880051200 has 1584 divisors, whose sum is σ = 328624816665600. Its totient is φ = 18025788211200.

The previous prime is 82152880051129. The next prime is 82152880051271. The reversal of 82152880051200 is 215008825128.

It is an interprime number because it is at equal distance from previous prime (82152880051129) and next prime (82152880051271).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19753034721 + ... + 19753038879.

Almost surely, 2^{82152880051200} is an apocalyptic number.

82152880051200 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 82152880051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164312408332800).

82152880051200 is an abundant number, since it is smaller than the sum of its proper divisors (246471936614400).

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

82152880051200 is a wasteful number, since it uses less digits than its factorization.

82152880051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 42.

Adding to 82152880051200 its reverse (215008825128), we get a palindrome (82367888876328).

The spelling of 82152880051200 in words is "eighty-two trillion, one hundred fifty-two billion, eight hundred eighty million, fifty-one thousand, two hundred".