215825197824 has 216 divisors, whose sum is σ = 661345618752. Its totient is φ = 67456696320.

The previous prime is 215825197823. The next prime is 215825197891. The reversal of 215825197824 is 428791528512.

It is a happy number.

215825197824 is a `hidden beast` number, since 2 + 1 + 58 + 2 + 519 + 78 + 2 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (215825197823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10604362 + ... + 10624694.

It is an arithmetic number, because the mean of its divisors is an integer number (3061785272).

Almost surely, 2^215825197824 is an apocalyptic number.

215825197824 is a gapful number since it is divisible by the number (24) 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 215825197824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330672809376).

215825197824 is an abundant number, since it is smaller than the sum of its proper divisors (445520420928).

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

215825197824 is a wasteful number, since it uses less digits than its factorization.

215825197824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20643 (or 20626 counting only the distinct ones).

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

The spelling of 215825197824 in words is "two hundred fifteen billion, eight hundred twenty-five million, one hundred ninety-seven thousand, eight hundred twenty-four".