71130020198400 has 3456 divisors, whose sum is σ = 295663476326400. Its totient is φ = 16231012761600.

The previous prime is 71130020198353. The next prime is 71130020198407. The reversal of 71130020198400 is 489102003117.

It is a happy number.

71130020198400 is a `hidden beast` number, since 7 + 11 + 30 + 0 + 20 + 198 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71130020198407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 560078899137 + ... + 560078899263.

It is an arithmetic number, because the mean of its divisors is an integer number (85550774400).

Almost surely, 2^{71130020198400} 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 71130020198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147831738163200).

71130020198400 is an abundant number, since it is smaller than the sum of its proper divisors (224533456128000).

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

71130020198400 is a wasteful number, since it uses less digits than its factorization.

71130020198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 71130020198400 in words is "seventy-one trillion, one hundred thirty billion, twenty million, one hundred ninety-eight thousand, four hundred".