52082892000 has 384 divisors, whose sum is σ = 191395975680. Its totient is φ = 13755916800.

The previous prime is 52082891981. The next prime is 52082892019. The reversal of 52082892000 is 29828025.

It is an interprime number because it is at equal distance from previous prime (52082891981) and next prime (52082892019).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11553747 + ... + 11558253.

It is an arithmetic number, because the mean of its divisors is an integer number (498427020).

Almost surely, 2^52082892000 is an apocalyptic number.

52082892000 is a gapful number since it is divisible by the number (50) 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 52082892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95697987840).

52082892000 is an abundant number, since it is smaller than the sum of its proper divisors (139313083680).

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

52082892000 is a wasteful number, since it uses less digits than its factorization.

52082892000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4648 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 52082892000 in words is "fifty-two billion, eighty-two million, eight hundred ninety-two thousand".