6211600108896 has 384 divisors, whose sum is σ = 20960611854336. Its totient is φ = 1565513072640.

The previous prime is 6211600108859. The next prime is 6211600108897. The reversal of 6211600108896 is 6988010061126.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6211600108897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220403926 + ... + 220432106.

It is an arithmetic number, because the mean of its divisors is an integer number (54584926704).

Almost surely, 2^{6211600108896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6211600108896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10480305927168).

6211600108896 is an abundant number, since it is smaller than the sum of its proper divisors (14749011745440).

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

6211600108896 is a wasteful number, since it uses less digits than its factorization.

6211600108896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29334 (or 29326 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 6211600108896 in words is "six trillion, two hundred eleven billion, six hundred million, one hundred eight thousand, eight hundred ninety-six".