815798154240 has 1056 divisors, whose sum is σ = 3207370608000. Its totient is φ = 190480121856.

The previous prime is 815798154209. The next prime is 815798154247. The reversal of 815798154240 is 42451897518.

815798154240 is a `hidden beast` number, since 8 + 1 + 5 + 7 + 98 + 1 + 542 + 4 + 0 = 666.

It is a super-2 number, since 2×815798154240² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815798154247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 878146096 + ... + 878147024.

Almost surely, 2^815798154240 is an apocalyptic number.

815798154240 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 815798154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603685304000).

815798154240 is an abundant number, since it is smaller than the sum of its proper divisors (2391572453760).

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

815798154240 is a wasteful number, since it uses less digits than its factorization.

815798154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 815798154240 in words is "eight hundred fifteen billion, seven hundred ninety-eight million, one hundred fifty-four thousand, two hundred forty".