213696352457280 has 3584 divisors, whose sum is σ = 1019212653772800. Its totient is φ = 40805262950400.

The previous prime is 213696352457267. The next prime is 213696352457297. The reversal of 213696352457280 is 82754253696312.

213696352457280 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 9 + 6 + 3 + 52 + 4 + 572 + 8 + 0 = 666.

It is a super-2 number, since 2×213696352457280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 243667448202 + ... + 243667449078.

It is a 1-persistent number, because it is pandigital, but 2⋅213696352457280 = 427392704914560 is not.

Almost surely, 2^{213696352457280} is an apocalyptic number.

213696352457280 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 213696352457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509606326886400).

213696352457280 is an abundant number, since it is smaller than the sum of its proper divisors (805516301315520).

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

213696352457280 is a wasteful number, since it uses less digits than its factorization.

213696352457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 213696352457280 in words is "two hundred thirteen trillion, six hundred ninety-six billion, three hundred fifty-two million, four hundred fifty-seven thousand, two hundred eighty".