655967211616800 has 432 divisors, whose sum is σ = 2387809175431680. Its totient is φ = 169275585024000.

The previous prime is 655967211616789. The next prime is 655967211616819. The reversal of 655967211616800 is 8616112769556.

655967211616800 is a `hidden beast` number, since 6 + 5 + 5 + 9 + 6 + 7 + 2 + 1 + 1 + 616 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10954849261 + ... + 10954909139.

It is an arithmetic number, because the mean of its divisors is an integer number (5527336054240).

Almost surely, 2^{655967211616800} is an apocalyptic number.

655967211616800 is a gapful number since it is divisible by the number (60) 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 655967211616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193904587715840).

655967211616800 is an abundant number, since it is smaller than the sum of its proper divisors (1731841963814880).

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

655967211616800 is a wasteful number, since it uses less digits than its factorization.

655967211616800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109017 (or 109001 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 655967211616800 in words is "six hundred fifty-five trillion, nine hundred sixty-seven billion, two hundred eleven million, six hundred sixteen thousand, eight hundred".