71656445280 has 384 divisors, whose sum is σ = 266735766528. Its totient is φ = 15829696512.

The previous prime is 71656445279. The next prime is 71656445281. The reversal of 71656445280 is 8254465617.

It is an interprime number because it is at equal distance from previous prime (71656445279) and next prime (71656445281).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71656445281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14012004 + ... + 14017116.

It is an arithmetic number, because the mean of its divisors is an integer number (694624392).

Almost surely, 2^71656445280 is an apocalyptic number.

71656445280 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 71656445280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133367883264).

71656445280 is an abundant number, since it is smaller than the sum of its proper divisors (195079321248).

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

71656445280 is a wasteful number, since it uses less digits than its factorization.

71656445280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5278 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 71656445280 in words is "seventy-one billion, six hundred fifty-six million, four hundred forty-five thousand, two hundred eighty".