215165696256000 has 4608 divisors, whose sum is σ = 969210426562560. Its totient is φ = 44845498368000.

The previous prime is 215165696255987. The next prime is 215165696256013. The reversal of 215165696256000 is 652696561512.

It is a happy number.

215165696256000 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 6 + 5 + 6 + 9 + 6 + 25 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (215165696255987) and next prime (215165696256013).

It is a tau number, because it is divible by the number of its divisors (4608).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 837220607872 + ... + 837220608128.

It is an arithmetic number, because the mean of its divisors is an integer number (210332123820).

Almost surely, 2^{215165696256000} is an apocalyptic number.

215165696256000 is a gapful number since it is divisible by the number (20) 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 215165696256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484605213281280).

215165696256000 is an abundant number, since it is smaller than the sum of its proper divisors (754044730306560).

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

215165696256000 is a wasteful number, since it uses less digits than its factorization.

215165696256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 215165696256000 in words is "two hundred fifteen trillion, one hundred sixty-five billion, six hundred ninety-six million, two hundred fifty-six thousand".