16878497731200 has 1152 divisors, whose sum is σ = 71469864385920. Its totient is φ = 3853054033920.

The previous prime is 16878497731181. The next prime is 16878497731201. The reversal of 16878497731200 is 213779487861.

16878497731200 is a `hidden beast` number, since 1 + 6 + 8 + 78 + 497 + 73 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (16878497731201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5949416182 + ... + 5949419018.

It is an arithmetic number, because the mean of its divisors is an integer number (62039812835).

Almost surely, 2^{16878497731200} is an apocalyptic number.

16878497731200 is a gapful number since it is divisible by the number (10) 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 16878497731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35734932192960).

16878497731200 is an abundant number, since it is smaller than the sum of its proper divisors (54591366654720).

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

16878497731200 is a wasteful number, since it uses less digits than its factorization.

16878497731200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 16878497731200 in words is "sixteen trillion, eight hundred seventy-eight billion, four hundred ninety-seven million, seven hundred thirty-one thousand, two hundred".