71082198000 has 800 divisors, whose sum is σ = 283374666432. Its totient is φ = 17031168000.

The previous prime is 71082197969. The next prime is 71082198017. The reversal of 71082198000 is 89128017.

It is a super-2 number, since 2×71082198000² (a number of 23 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 201365824 + ... + 201366176.

Almost surely, 2^71082198000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71082198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141687333216).

71082198000 is an abundant number, since it is smaller than the sum of its proper divisors (212292468432).

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

71082198000 is a wasteful number, since it uses less digits than its factorization.

71082198000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 71082198000 in words is "seventy-one billion, eighty-two million, one hundred ninety-eight thousand".