215219909952 has 224 divisors, whose sum is σ = 637300224000. Its totient is φ = 71221248000.

The previous prime is 215219909923. The next prime is 215219909953. The reversal of 215219909952 is 259909912512.

215219909952 is a `hidden beast` number, since 21 + 521 + 9 + 9 + 0 + 9 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215219909953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186984577 + ... + 186985727.

Almost surely, 2^215219909952 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 215219909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318650112000).

215219909952 is an abundant number, since it is smaller than the sum of its proper divisors (422080314048).

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

215219909952 is a wasteful number, since it uses less digits than its factorization.

215219909952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 54.

The spelling of 215219909952 in words is "two hundred fifteen billion, two hundred nineteen million, nine hundred nine thousand, nine hundred fifty-two".