215788742705536 has 256 divisors, whose sum is σ = 577375495441920. Its totient is φ = 77582363443200.

The previous prime is 215788742705491. The next prime is 215788742705563. The reversal of 215788742705536 is 635507247887512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417054351 + ... + 417571441.

It is an arithmetic number, because the mean of its divisors is an integer number (2255373029070).

Almost surely, 2^{215788742705536} is an apocalyptic number.

215788742705536 is a gapful number since it is divisible by the number (26) 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 215788742705536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288687747720960).

215788742705536 is an abundant number, since it is smaller than the sum of its proper divisors (361586752736384).

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

215788742705536 is a wasteful number, since it uses less digits than its factorization.

215788742705536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520393 (or 520381 counting only the distinct ones).

The product of its (nonzero) digits is 790272000, while the sum is 70.

The spelling of 215788742705536 in words is "two hundred fifteen trillion, seven hundred eighty-eight billion, seven hundred forty-two million, seven hundred five thousand, five hundred thirty-six".