81982952755200 has 3744 divisors, whose sum is σ = 367631455319040. Its totient is φ = 18059231232000.

The previous prime is 81982952755189. The next prime is 81982952755241. The reversal of 81982952755200 is 255725928918.

81982952755200 is a `hidden beast` number, since 8 + 1 + 9 + 8 + 29 + 52 + 7 + 552 + 0 + 0 = 666.

It is a super-2 number, since 2×81982952755200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 340178227080 + ... + 340178227320.

Almost surely, 2^{81982952755200} is an apocalyptic number.

81982952755200 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 81982952755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183815727659520).

81982952755200 is an abundant number, since it is smaller than the sum of its proper divisors (285648502563840).

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

81982952755200 is an equidigital number, since it uses as much as digits as its factorization.

81982952755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 63.

The spelling of 81982952755200 in words is "eighty-one trillion, nine hundred eighty-two billion, nine hundred fifty-two million, seven hundred fifty-five thousand, two hundred".