215441835840 has 2016 divisors, whose sum is σ = 1005189239808. Its totient is φ = 42152140800.

The previous prime is 215441835823. The next prime is 215441835841. The reversal of 215441835840 is 48538144512.

215441835840 is a `hidden beast` number, since 2 + 1 + 54 + 4 + 18 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215441835841) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5822752302 + ... + 5822752338.

Almost surely, 2^215441835840 is an apocalyptic number.

215441835840 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 215441835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502594619904).

215441835840 is an abundant number, since it is smaller than the sum of its proper divisors (789747403968).

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

215441835840 is a wasteful number, since it uses less digits than its factorization.

215441835840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 215441835840 in words is "two hundred fifteen billion, four hundred forty-one million, eight hundred thirty-five thousand, eight hundred forty".