815220510720 has 1248 divisors, whose sum is σ = 3356207861760. Its totient is φ = 167049953280.

The previous prime is 815220510613. The next prime is 815220510737. The reversal of 815220510720 is 27015022518.

815220510720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3410964361 + ... + 3410964599.

It is an arithmetic number, because the mean of its divisors is an integer number (2689269120).

Almost surely, 2^815220510720 is an apocalyptic number.

815220510720 is a gapful number since it is divisible by the number (80) 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 815220510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678103930880).

815220510720 is an abundant number, since it is smaller than the sum of its proper divisors (2540987351040).

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

815220510720 is a wasteful number, since it uses less digits than its factorization.

815220510720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The spelling of 815220510720 in words is "eight hundred fifteen billion, two hundred twenty million, five hundred ten thousand, seven hundred twenty".