16712707401600 has 384 divisors, whose sum is σ = 64940813998080. Its totient is φ = 3696819609600.

The previous prime is 16712707401571. The next prime is 16712707401653. The reversal of 16712707401600 is 610470721761.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1928107 + ... + 6094506.

It is an arithmetic number, because the mean of its divisors is an integer number (169116703120).

Almost surely, 2^{16712707401600} is an apocalyptic number.

16712707401600 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 16712707401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32470406999040).

16712707401600 is an abundant number, since it is smaller than the sum of its proper divisors (48228106596480).

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

16712707401600 is a wasteful number, since it uses less digits than its factorization.

16712707401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8022678 (or 8022661 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 16712707401600 in words is "sixteen trillion, seven hundred twelve billion, seven hundred seven million, four hundred one thousand, six hundred".