815345731200 has 4608 divisors, whose sum is σ = 4185812090880. Its totient is φ = 136249344000.

The previous prime is 815345731163. The next prime is 815345731201. The reversal of 815345731200 is 2137543518.

It is a happy number.

It is a super-2 number, since 2×815345731200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (815345731201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 26301475185 + ... + 26301475215.

It is an arithmetic number, because the mean of its divisors is an integer number (908379360).

Almost surely, 2^815345731200 is an apocalyptic number.

815345731200 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 815345731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092906045440).

815345731200 is an abundant number, since it is smaller than the sum of its proper divisors (3370466359680).

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

815345731200 is a wasteful number, since it uses less digits than its factorization.

815345731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 815345731200 in words is "eight hundred fifteen billion, three hundred forty-five million, seven hundred thirty-one thousand, two hundred".