215456567040 has 864 divisors, whose sum is σ = 904247285760. Its totient is φ = 46647705600.

The previous prime is 215456566987. The next prime is 215456567101. The reversal of 215456567040 is 40765654512.

215456567040 is a `hidden beast` number, since 2 + 1 + 5 + 45 + 6 + 567 + 0 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51066051 + ... + 51070269.

Almost surely, 2^215456567040 is an apocalyptic number.

215456567040 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 215456567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452123642880).

215456567040 is an abundant number, since it is smaller than the sum of its proper divisors (688790718720).

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

215456567040 is a wasteful number, since it uses less digits than its factorization.

215456567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 215456567040 in words is "two hundred fifteen billion, four hundred fifty-six million, five hundred sixty-seven thousand, forty".