6131245276800 has 1536 divisors, whose sum is σ = 26854395494400. Its totient is φ = 1335730176000.

The previous prime is 6131245276771. The next prime is 6131245276813. The reversal of 6131245276800 is 86725421316.

6131245276800 is a `hidden beast` number, since 6 + 131 + 2 + 452 + 7 + 68 + 0 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5105116200 + ... + 5105117400.

It is an arithmetic number, because the mean of its divisors is an integer number (17483330400).

Almost surely, 2^{6131245276800} is an apocalyptic number.

6131245276800 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 6131245276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13427197747200).

6131245276800 is an abundant number, since it is smaller than the sum of its proper divisors (20723150217600).

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

6131245276800 is a wasteful number, since it uses less digits than its factorization.

6131245276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 6131245276800 in words is "six trillion, one hundred thirty-one billion, two hundred forty-five million, two hundred seventy-six thousand, eight hundred".