71510400000 has 792 divisors, whose sum is σ = 279397617408. Its totient is φ = 17510400000.

The previous prime is 71510399971. The next prime is 71510400011. The reversal of 71510400000 is 401517.

It is a super-2 number, since 2×71510400000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 374399905 + ... + 374400095.

Almost surely, 2^71510400000 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 71510400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139698808704).

71510400000 is an abundant number, since it is smaller than the sum of its proper divisors (207887217408).

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

71510400000 is a wasteful number, since it uses less digits than its factorization.

71510400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

Adding to 71510400000 its reverse (401517), we get a palindrome (71510801517).

The spelling of 71510400000 in words is "seventy-one billion, five hundred ten million, four hundred thousand".