153211161600 has 1188 divisors, whose sum is σ = 655669706328. Its totient is φ = 34062336000.

The previous prime is 153211161557. The next prime is 153211161617. The reversal of 153211161600 is 6161112351.

153211161600 is a `hidden beast` number, since 1 + 5 + 32 + 1 + 11 + 616 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 462873435 + ... + 462873765.

Almost surely, 2^153211161600 is an apocalyptic number.

153211161600 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 153211161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327834853164).

153211161600 is an abundant number, since it is smaller than the sum of its proper divisors (502458544728).

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

153211161600 is a wasteful number, since it uses less digits than its factorization.

153211161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 153211161600 its reverse (6161112351), we get a palindrome (159372273951).

The spelling of 153211161600 in words is "one hundred fifty-three billion, two hundred eleven million, one hundred sixty-one thousand, six hundred".