215655556512 has 768 divisors, whose sum is σ = 708434657280. Its totient is φ = 56659046400.

The previous prime is 215655556463. The next prime is 215655556517.

215655556512 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×215655556512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (215655556517) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1323040143 + ... + 1323040305.

It is an arithmetic number, because the mean of its divisors is an integer number (922440960).

Almost surely, 2^215655556512 is an apocalyptic number.

215655556512 is a gapful number since it is divisible by the number (22) 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 215655556512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354217328640).

215655556512 is an abundant number, since it is smaller than the sum of its proper divisors (492779100768).

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

215655556512 is a wasteful number, since it uses less digits than its factorization.

215655556512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its digits is 2250000, while the sum is 48.

The spelling of 215655556512 in words is "two hundred fifteen billion, six hundred fifty-five million, five hundred fifty-six thousand, five hundred twelve".