71861613750 has 320 divisors, whose sum is σ = 212556960000. Its totient is φ = 17928000000.

The previous prime is 71861613737. The next prime is 71861613757. The reversal of 71861613750 is 5731616817.

71861613750 is a `hidden beast` number, since 7 + 18 + 616 + 13 + 7 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 71861613696 and 71861613705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71861613757) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 144011001 + ... + 144011499.

It is an arithmetic number, because the mean of its divisors is an integer number (664240500).

Almost surely, 2^71861613750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71861613750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106278480000).

71861613750 is an abundant number, since it is smaller than the sum of its proper divisors (140695346250).

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

71861613750 is a wasteful number, since it uses less digits than its factorization.

71861613750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 71861613750 in words is "seventy-one billion, eight hundred sixty-one million, six hundred thirteen thousand, seven hundred fifty".