71294583360 has 896 divisors, whose sum is σ = 306419097600. Its totient is φ = 13643735040.

The previous prime is 71294583313. The next prime is 71294583433. The reversal of 71294583360 is 6338549217.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 162402021 + ... + 162402459.

It is an arithmetic number, because the mean of its divisors is an integer number (341985600).

It is a 1-persistent number, because it is pandigital, but 2⋅71294583360 = 142589166720 is not.

Almost surely, 2^71294583360 is an apocalyptic number.

71294583360 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 71294583360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153209548800).

71294583360 is an abundant number, since it is smaller than the sum of its proper divisors (235124514240).

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

71294583360 is a wasteful number, since it uses less digits than its factorization.

71294583360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 71294583360 in words is "seventy-one billion, two hundred ninety-four million, five hundred eighty-three thousand, three hundred sixty".