215425987725312 has 1728 divisors, whose sum is σ = 811598075673840. Its totient is φ = 54514799345664.

The previous prime is 215425987725281. The next prime is 215425987725331. The reversal of 215425987725312 is 213527789524512.

215425987725312 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 2 + 5 + 98 + 7 + 7 + 2 + 531 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 73261000221696 + 142164987503616 = 8559264^2 + 11923296^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 215425987725312.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31712934588 + ... + 31712941380.

Almost surely, 2^{215425987725312} 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 215425987725312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405799037836920).

215425987725312 is an abundant number, since it is smaller than the sum of its proper divisors (596172087948528).

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

215425987725312 is a wasteful number, since it uses less digits than its factorization.

215425987725312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6958 (or 6928 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 63.

The spelling of 215425987725312 in words is "two hundred fifteen trillion, four hundred twenty-five billion, nine hundred eighty-seven million, seven hundred twenty-five thousand, three hundred twelve".