815410582272 has 972 divisors, whose sum is σ = 2906431170552. Its totient is φ = 227731046400.

The previous prime is 815410582267. The next prime is 815410582297. The reversal of 815410582272 is 272285014518.

815410582272 is a `hidden beast` number, since 8 + 1 + 5 + 41 + 0 + 582 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1272091072 + ... + 1272091712.

Almost surely, 2^815410582272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815410582272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453215585276).

815410582272 is an abundant number, since it is smaller than the sum of its proper divisors (2091020588280).

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

815410582272 is a wasteful number, since it uses less digits than its factorization.

815410582272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 815410582272 in words is "eight hundred fifteen billion, four hundred ten million, five hundred eighty-two thousand, two hundred seventy-two".