71269520000 has 240 divisors, whose sum is σ = 206399063970. Its totient is φ = 24433920000.

The previous prime is 71269519957. The next prime is 71269520027. The reversal of 71269520000 is 2596217.

It can be written as a sum of positive squares in 5 ways, for example, as 10307934784 + 60961585216 = 101528^2 + 246904^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3910910 + ... + 3929090.

Almost surely, 2^71269520000 is an apocalyptic number.

71269520000 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 71269520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103199531985).

71269520000 is an abundant number, since it is smaller than the sum of its proper divisors (135129543970).

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

71269520000 is an equidigital number, since it uses as much as digits as its factorization.

71269520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18229 (or 18195 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 71269520000 in words is "seventy-one billion, two hundred sixty-nine million, five hundred twenty thousand".