208153219091328 has 1280 divisors, whose sum is σ = 753976279203840. Its totient is φ = 55742289592320.

The previous prime is 208153219091221. The next prime is 208153219091333. The reversal of 208153219091328 is 823190912351802.

208153219091328 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 532 + 1 + 90 + 9 + 13 + 2 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18563556250 + ... + 18563567462.

It is an arithmetic number, because the mean of its divisors is an integer number (589043968128).

Almost surely, 2^{208153219091328} is an apocalyptic number.

208153219091328 is a gapful number since it is divisible by the number (28) 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 208153219091328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376988139601920).

208153219091328 is an abundant number, since it is smaller than the sum of its proper divisors (545823060112512).

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

208153219091328 is a wasteful number, since it uses less digits than its factorization.

208153219091328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11537 (or 11516 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 208153219091328 in words is "two hundred eight trillion, one hundred fifty-three billion, two hundred nineteen million, ninety-one thousand, three hundred twenty-eight".