215292220416 has 1056 divisors, whose sum is σ = 810677504000. Its totient is φ = 54948741120.

The previous prime is 215292220411. The next prime is 215292220417. The reversal of 215292220416 is 614022292512.

215292220416 = T₄₁₃ + T₄₁₄ + ... + T₁₀₈₉₀.

215292220416 is a `hidden beast` number, since 2 + 15 + 2 + 9 + 2 + 220 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215292220411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6944910321 + ... + 6944910351.

Almost surely, 2^215292220416 is an apocalyptic number.

215292220416 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 215292220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405338752000).

215292220416 is an abundant number, since it is smaller than the sum of its proper divisors (595385283584).

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

215292220416 is an equidigital number, since it uses as much as digits as its factorization.

215292220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 215292220416 in words is "two hundred fifteen billion, two hundred ninety-two million, two hundred twenty thousand, four hundred sixteen".