71527819495440 has 320 divisors, whose sum is σ = 276606076078080. Its totient is φ = 14854552657920.

The previous prime is 71527819495403. The next prime is 71527819495459. The reversal of 71527819495440 is 4459491872517.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31749891 + ... + 33928029.

It is an arithmetic number, because the mean of its divisors is an integer number (864393987744).

Almost surely, 2^{71527819495440} is an apocalyptic number.

71527819495440 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 71527819495440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138303038039040).

71527819495440 is an abundant number, since it is smaller than the sum of its proper divisors (205078256582640).

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

71527819495440 is a wasteful number, since it uses less digits than its factorization.

71527819495440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179950 (or 2179944 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 66.

The spelling of 71527819495440 in words is "seventy-one trillion, five hundred twenty-seven billion, eight hundred nineteen million, four hundred ninety-five thousand, four hundred forty".