215126908416 has 960 divisors, whose sum is σ = 785938982400. Its totient is φ = 55276535808.

The previous prime is 215126908411. The next prime is 215126908427. The reversal of 215126908416 is 614809621512.

215126908416 is a `hidden beast` number, since 2 + 1 + 512 + 6 + 90 + 8 + 41 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215126908411) 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, 1201826215 + ... + 1201826393.

It is an arithmetic number, because the mean of its divisors is an integer number (818686440).

Almost surely, 2^215126908416 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 215126908416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392969491200).

215126908416 is an abundant number, since it is smaller than the sum of its proper divisors (570812073984).

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

215126908416 is a wasteful number, since it uses less digits than its factorization.

215126908416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 215126908416 in words is "two hundred fifteen billion, one hundred twenty-six million, nine hundred eight thousand, four hundred sixteen".