282152970000 has 500 divisors, whose sum is σ = 1113268652496. Its totient is φ = 68398560000.

The previous prime is 282152969981. The next prime is 282152970017. The reversal of 282152970000 is 79251282.

It is a tau number, because it is divible by the number of its divisors (500).

It is a super-2 number, since 2×282152970000² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 8894167 + ... + 8925833.

Almost surely, 2^282152970000 is an apocalyptic number.

282152970000 is a gapful number since it is divisible by the number (20) 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 282152970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556634326248).

282152970000 is an abundant number, since it is smaller than the sum of its proper divisors (831115682496).

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

282152970000 is a wasteful number, since it uses less digits than its factorization.

282152970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31718 (or 31688 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 282152970000 in words is "two hundred eighty-two billion, one hundred fifty-two million, nine hundred seventy thousand".