82895155200 has 1872 divisors, whose sum is σ = 379321409376. Its totient is φ = 16986931200.

The previous prime is 82895155177. The next prime is 82895155207. The reversal of 82895155200 is 255159828.

It is a happy number.

82895155200 is a `hidden beast` number, since 8 + 2 + 8 + 95 + 1 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

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

It is not an unprimeable number, because it can be changed into a prime (82895155207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2240409582 + ... + 2240409618.

It is an arithmetic number, because the mean of its divisors is an integer number (202628958).

Almost surely, 2^82895155200 is an apocalyptic number.

82895155200 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 82895155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189660704688).

82895155200 is an abundant number, since it is smaller than the sum of its proper divisors (296426254176).

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

82895155200 is a wasteful number, since it uses less digits than its factorization.

82895155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 82895155200 in words is "eighty-two billion, eight hundred ninety-five million, one hundred fifty-five thousand, two hundred".