71199681024 has 320 divisors, whose sum is σ = 202371333120. Its totient is φ = 22210805760.

The previous prime is 71199681023. The next prime is 71199681029. The reversal of 71199681024 is 42018699117.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (71199681023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224604514 + ... + 224604830.

It is an arithmetic number, because the mean of its divisors is an integer number (632410416).

Almost surely, 2^71199681024 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 71199681024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101185666560).

71199681024 is an abundant number, since it is smaller than the sum of its proper divisors (131171652096).

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

71199681024 is a wasteful number, since it uses less digits than its factorization.

71199681024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The spelling of 71199681024 in words is "seventy-one billion, one hundred ninety-nine million, six hundred eighty-one thousand, twenty-four".