82715472000 has 1024 divisors, whose sum is σ = 368903808000. Its totient is φ = 17783193600.

The previous prime is 82715471887. The next prime is 82715472001. The reversal of 82715472000 is 27451728.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82715472001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51407196 + ... + 51408804.

It is an arithmetic number, because the mean of its divisors is an integer number (360257625).

Almost surely, 2^82715472000 is an apocalyptic number.

82715472000 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 82715472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184451904000).

82715472000 is an abundant number, since it is smaller than the sum of its proper divisors (286188336000).

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

82715472000 is a wasteful number, since it uses less digits than its factorization.

82715472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 82715472000 in words is "eighty-two billion, seven hundred fifteen million, four hundred seventy-two thousand".