215137451980800 has 864 divisors, whose sum is σ = 784425744320400. Its totient is φ = 56333948682240.

The previous prime is 215137451980793. The next prime is 215137451980909. The reversal of 215137451980800 is 8089154731512.

215137451980800 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 37 + 451 + 9 + 80 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27105634432 + ... + 27105642368.

Almost surely, 2^{215137451980800} is an apocalyptic number.

215137451980800 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 215137451980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392212872160200).

215137451980800 is an abundant number, since it is smaller than the sum of its proper divisors (569288292339600).

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

215137451980800 is a wasteful number, since it uses less digits than its factorization.

215137451980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9031 (or 9003 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 215137451980800 in words is "two hundred fifteen trillion, one hundred thirty-seven billion, four hundred fifty-one million, nine hundred eighty thousand, eight hundred".