71898267114240 has 432 divisors, whose sum is σ = 267203534300640. Its totient is φ = 16428436684800.

The previous prime is 71898267114173. The next prime is 71898267114259. The reversal of 71898267114240 is 4241176289817.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581164390 + ... + 581288090.

It is an arithmetic number, because the mean of its divisors is an integer number (618526699770).

Almost surely, 2^{71898267114240} is an apocalyptic number.

71898267114240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71898267114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133601767150320).

71898267114240 is an abundant number, since it is smaller than the sum of its proper divisors (195305267186400).

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

71898267114240 is a wasteful number, since it uses less digits than its factorization.

71898267114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126828 (or 126807 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 60.

The spelling of 71898267114240 in words is "seventy-one trillion, eight hundred ninety-eight billion, two hundred sixty-seven million, one hundred fourteen thousand, two hundred forty".