210553732247040 has 5120 divisors, whose sum is σ = 982017146880000. Its totient is φ = 41576363458560.

The previous prime is 210553732247009. The next prime is 210553732247041. The reversal of 210553732247040 is 40742237355012.

210553732247040 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 53 + 73 + 22 + 470 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210553732247041) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1413112296886 + ... + 1413112297034.

It is an arithmetic number, because the mean of its divisors is an integer number (191800224000).

Almost surely, 2^{210553732247040} is an apocalyptic number.

210553732247040 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 210553732247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491008573440000).

210553732247040 is an abundant number, since it is smaller than the sum of its proper divisors (771463414632960).

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

210553732247040 is a wasteful number, since it uses less digits than its factorization.

210553732247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 210553732247040 in words is "two hundred ten trillion, five hundred fifty-three billion, seven hundred thirty-two million, two hundred forty-seven thousand, forty".