205214733907680 has 96 divisors (see below), whose sum is σ = 738773042079744. Its totient is φ = 46906224892416.

The previous prime is 205214733907627. The next prime is 205214733907681. The reversal of 205214733907680 is 86709337412502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×205214733907680² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205214733907680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205214733907681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30537903472 + ... + 30537910191.

It is an arithmetic number, because the mean of its divisors is an integer number (7695552521664).

It is a 2-persistent number, because it is pandigital, and so is 2⋅205214733907680 = 410429467815360, but 3⋅205214733907680 = 615644201723040 is not.

Almost surely, 2^{205214733907680} is an apocalyptic number.

205214733907680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205214733907680 is an abundant number, since it is smaller than the sum of its proper divisors (533558308172064).

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

205214733907680 is a wasteful number, since it uses less digits than its factorization.

205214733907680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61075813688 (or 61075813680 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 205214733907680 in words is "two hundred five trillion, two hundred fourteen billion, seven hundred thirty-three million, nine hundred seven thousand, six hundred eighty".