6212541562560 has 336 divisors, whose sum is σ = 22431180635136. Its totient is φ = 1575156566016.

The previous prime is 6212541562517. The next prime is 6212541562609. The reversal of 6212541562560 is 652651452126.

6212541562560 is a `hidden beast` number, since 6 + 2 + 1 + 2 + 5 + 4 + 15 + 625 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10781277 + ... + 11342883.

It is an arithmetic number, because the mean of its divisors is an integer number (66759466176).

Almost surely, 2^{6212541562560} is an apocalyptic number.

6212541562560 is a gapful number since it is divisible by the number (60) 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 6212541562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11215590317568).

6212541562560 is an abundant number, since it is smaller than the sum of its proper divisors (16218639072576).

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

6212541562560 is a wasteful number, since it uses less digits than its factorization.

6212541562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561820 (or 561807 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 6212541562560 in words is "six trillion, two hundred twelve billion, five hundred forty-one million, five hundred sixty-two thousand, five hundred sixty".