6245137195200 has 420 divisors, whose sum is σ = 23056787807592. Its totient is φ = 1658025676800.

The previous prime is 6245137195169. The next prime is 6245137195201. The reversal of 6245137195200 is 25917315426.

6245137195200 is a `hidden beast` number, since 6 + 2 + 4 + 51 + 3 + 71 + 9 + 520 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6245137195201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29313060 + ... + 29525340.

Almost surely, 2^{6245137195200} is an apocalyptic number.

6245137195200 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 6245137195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11528393903796).

6245137195200 is an abundant number, since it is smaller than the sum of its proper divisors (16811650612392).

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

6245137195200 is a wasteful number, since it uses less digits than its factorization.

6245137195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212542 (or 212518 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 6245137195200 in words is "six trillion, two hundred forty-five billion, one hundred thirty-seven million, one hundred ninety-five thousand, two hundred".