213554396405760 has 448 divisors, whose sum is σ = 706987651645440. Its totient is φ = 54984844247040.

The previous prime is 213554396405699. The next prime is 213554396405783. The reversal of 213554396405760 is 67504693455312.

It is a super-2 number, since 2×213554396405760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 213554396405694 and 213554396405703.

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 31 ways as a sum of consecutive naturals, for example, 1672210069 + ... + 1672337771.

Almost surely, 2^{213554396405760} is an apocalyptic number.

213554396405760 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 213554396405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353493825822720).

213554396405760 is an abundant number, since it is smaller than the sum of its proper divisors (493433255239680).

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

213554396405760 is a wasteful number, since it uses less digits than its factorization.

213554396405760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128207 (or 128183 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 60.

The spelling of 213554396405760 in words is "two hundred thirteen trillion, five hundred fifty-four billion, three hundred ninety-six million, four hundred five thousand, seven hundred sixty".