71553954432 has 64 divisors (see below), whose sum is σ = 190097530560. Its totient is φ = 23847260160.

The previous prime is 71553954421. The next prime is 71553954443. The reversal of 71553954432 is 23445935517.

It is an interprime number because it is at equal distance from previous prime (71553954421) and next prime (71553954443).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2980557 + ... + 3004467.

It is an arithmetic number, because the mean of its divisors is an integer number (2970273915).

Almost surely, 2^71553954432 is an apocalyptic number.

It is an amenable number.

71553954432 is an abundant number, since it is smaller than the sum of its proper divisors (118543576128).

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

71553954432 is a wasteful number, since it uses less digits than its factorization.

71553954432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31721 (or 31709 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 48.

The spelling of 71553954432 in words is "seventy-one billion, five hundred fifty-three million, nine hundred fifty-four thousand, four hundred thirty-two".