6101335756800 has 1638 divisors, whose sum is σ = 23803122815198. Its totient is φ = 1549367377920.

The previous prime is 6101335756781. The next prime is 6101335756807. The reversal of 6101335756800 is 86575331016.

6101335756800 is a `hidden beast` number, since 6 + 1 + 0 + 1 + 33 + 57 + 568 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1292823576576 + 4808512180224 = 1137024^2 + 2192832^2 .

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 (6101335756807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 129815654377 + ... + 129815654423.

Almost surely, 2^{6101335756800} is an apocalyptic number.

6101335756800 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 6101335756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11901561407599).

6101335756800 is an abundant number, since it is smaller than the sum of its proper divisors (17701787058398).

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

6101335756800 is an frugal number, since it uses more digits than its factorization.

6101335756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 94 counting only the distinct ones).

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

The spelling of 6101335756800 in words is "six trillion, one hundred one billion, three hundred thirty-five million, seven hundred fifty-six thousand, eight hundred".