71505501053440 has 160 divisors (see below), whose sum is σ = 187386478354944. Its totient is φ = 26051339550720.

The previous prime is 71505501053411. The next prime is 71505501053449. The reversal of 71505501053440 is 4435010550517.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×71505501053440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 71505501053393 and 71505501053402.

It is not an unprimeable number, because it can be changed into a prime (71505501053449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25151674 + ... + 27849913.

Almost surely, 2^{71505501053440} is an apocalyptic number.

It is an amenable number.

71505501053440 is an abundant number, since it is smaller than the sum of its proper divisors (115880977301504).

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

71505501053440 is a wasteful number, since it uses less digits than its factorization.

71505501053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53001658 (or 53001642 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 40.

The spelling of 71505501053440 in words is "seventy-one trillion, five hundred five billion, five hundred one million, fifty-three thousand, four hundred forty".