2016897656400 has 480 divisors, whose sum is σ = 7845293404800. Its totient is φ = 488069222400.

The previous prime is 2016897656383. The next prime is 2016897656407. The reversal of 2016897656400 is 46567986102.

2016897656400 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 8 + 9 + 76 + 564 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016897656407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67582282 + ... + 67612118.

It is an arithmetic number, because the mean of its divisors is an integer number (16344361260).

Almost surely, 2^{2016897656400} is an apocalyptic number.

2016897656400 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 2016897656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922646702400).

2016897656400 is an abundant number, since it is smaller than the sum of its proper divisors (5828395748400).

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

2016897656400 is a wasteful number, since it uses less digits than its factorization.

2016897656400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30444 (or 30427 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2016897656400 in words is "two trillion, sixteen billion, eight hundred ninety-seven million, six hundred fifty-six thousand, four hundred".