216888685952400 has 1440 divisors, whose sum is σ = 996541083502848. Its totient is φ = 42290557747200.

The previous prime is 216888685952387. The next prime is 216888685952413. The reversal of 216888685952400 is 4259586888612.

216888685952400 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 8 + 8 + 6 + 8 + 595 + 24 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (216888685952387) and next prime (216888685952413).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1588010514 + ... + 1588147086.

Almost surely, 2^{216888685952400} is an apocalyptic number.

216888685952400 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 216888685952400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498270541751424).

216888685952400 is an abundant number, since it is smaller than the sum of its proper divisors (779652397550448).

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

216888685952400 is a wasteful number, since it uses less digits than its factorization.

216888685952400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136969 (or 136955 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 72.

The spelling of 216888685952400 in words is "two hundred sixteen trillion, eight hundred eighty-eight billion, six hundred eighty-five million, nine hundred fifty-two thousand, four hundred".