210153553920 has 1080 divisors, whose sum is σ = 835816441824. Its totient is φ = 50451185664.

The previous prime is 210153553901. The next prime is 210153553921. The reversal of 210153553920 is 29355351012.

210153553920 is a `hidden beast` number, since 2 + 1 + 0 + 15 + 3 + 553 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (210153553921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9137111029 + ... + 9137111051.

Almost surely, 2^210153553920 is an apocalyptic number.

210153553920 is a gapful number since it is divisible by the number (20) 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 210153553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417908220912).

210153553920 is an abundant number, since it is smaller than the sum of its proper divisors (625662887904).

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

210153553920 is an frugal number, since it uses more digits than its factorization.

210153553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 210153553920 in words is "two hundred ten billion, one hundred fifty-three million, five hundred fifty-three thousand, nine hundred twenty".