71368951665000 has 640 divisors, whose sum is σ = 244737354977280. Its totient is φ = 17194358400000.

The previous prime is 71368951664963. The next prime is 71368951665023. The reversal of 71368951665000 is 56615986317.

It is a super-2 number, since 2×71368951665000² (a number of 29 digits) contains 22 as substring.

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, 19698853189 + ... + 19698856811.

It is an arithmetic number, because the mean of its divisors is an integer number (382402117152).

Almost surely, 2^{71368951665000} 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 71368951665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122368677488640).

71368951665000 is an abundant number, since it is smaller than the sum of its proper divisors (173368403312280).

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

71368951665000 is a wasteful number, since it uses less digits than its factorization.

71368951665000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 71368951665000 in words is "seventy-one trillion, three hundred sixty-eight billion, nine hundred fifty-one million, six hundred sixty-five thousand".