71998361190 has 768 divisors, whose sum is σ = 248209920000. Its totient is φ = 14753249280.

The previous prime is 71998361159. The next prime is 71998361209. The reversal of 71998361190 is 9116389917.

It is a happy number.

71998361190 is a `hidden beast` number, since 7 + 1 + 9 + 98 + 361 + 190 = 666.

It is a super-2 number, since 2×71998361190² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 361800711 + ... + 361800909.

It is an arithmetic number, because the mean of its divisors is an integer number (323190000).

Almost surely, 2^71998361190 is an apocalyptic number.

71998361190 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71998361190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960000).

71998361190 is an abundant number, since it is smaller than the sum of its proper divisors (176211558810).

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

71998361190 is a wasteful number, since it uses less digits than its factorization.

71998361190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 71998361190 in words is "seventy-one billion, nine hundred ninety-eight million, three hundred sixty-one thousand, one hundred ninety".