215797206240 has 1920 divisors, whose sum is σ = 1001534865408. Its totient is φ = 42465669120.

The previous prime is 215797206173. The next prime is 215797206277. The reversal of 215797206240 is 42602797512.

215797206240 is a `hidden beast` number, since 2 + 1 + 579 + 72 + 0 + 6 + 2 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 319 ways as a sum of consecutive naturals, for example, 2016796267 + ... + 2016796373.

Almost surely, 2^215797206240 is an apocalyptic number.

215797206240 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 215797206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500767432704).

215797206240 is an abundant number, since it is smaller than the sum of its proper divisors (785737659168).

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

215797206240 is a wasteful number, since it uses less digits than its factorization.

215797206240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 215797206240 in words is "two hundred fifteen billion, seven hundred ninety-seven million, two hundred six thousand, two hundred forty".