215653281766000 has 640 divisors, whose sum is σ = 595921950554112. Its totient is φ = 74875806720000.

The previous prime is 215653281765991. The next prime is 215653281766037. The reversal of 215653281766000 is 667182356512.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 127 ways as a sum of consecutive naturals, for example, 20874380835 + ... + 20874391165.

Almost surely, 2^{215653281766000} is an apocalyptic number.

215653281766000 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 215653281766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297960975277056).

215653281766000 is an abundant number, since it is smaller than the sum of its proper divisors (380268668788112).

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

215653281766000 is a wasteful number, since it uses less digits than its factorization.

215653281766000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10978 (or 10962 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 215653281766000 in words is "two hundred fifteen trillion, six hundred fifty-three billion, two hundred eighty-one million, seven hundred sixty-six thousand".