215535365550144 has 672 divisors, whose sum is σ = 661850544337920. Its totient is φ = 68774318161920.

The previous prime is 215535365550139. The next prime is 215535365550217. The reversal of 215535365550144 is 441055563535512.

215535365550144 is a `hidden beast` number, since 2 + 1 + 5 + 5 + 3 + 536 + 55 + 50 + 1 + 4 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137546499249 + ... + 137546500815.

It is an arithmetic number, because the mean of its divisors is an integer number (984896643360).

Almost surely, 2^{215535365550144} is an apocalyptic number.

215535365550144 is a gapful number since it is divisible by the number (24) 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 215535365550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330925272168960).

215535365550144 is an abundant number, since it is smaller than the sum of its proper divisors (446315178787776).

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

215535365550144 is a wasteful number, since it uses less digits than its factorization.

215535365550144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 27000000, while the sum is 54.

The spelling of 215535365550144 in words is "two hundred fifteen trillion, five hundred thirty-five billion, three hundred sixty-five million, five hundred fifty thousand, one hundred forty-four".