71520658290 has 160 divisors (see below), whose sum is σ = 194192570880. Its totient is φ = 18886348800.

The previous prime is 71520658267. The next prime is 71520658303. The reversal of 71520658290 is 9285602517.

71520658290 is a `hidden beast` number, since 71 + 520 + 6 + 58 + 2 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72169695 + ... + 72170685.

It is an arithmetic number, because the mean of its divisors is an integer number (1213703568).

Almost surely, 2^71520658290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71520658290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97096285440).

71520658290 is an abundant number, since it is smaller than the sum of its proper divisors (122671912590).

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

71520658290 is a wasteful number, since it uses less digits than its factorization.

71520658290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 71520658290 in words is "seventy-one billion, five hundred twenty million, six hundred fifty-eight thousand, two hundred ninety".