5957145554850 has 720 divisors, whose sum is σ = 19411965144000. Its totient is φ = 1326812659200.

The previous prime is 5957145554839. The next prime is 5957145554909. The reversal of 5957145554850 is 584555417595.

5957145554850 is a `hidden beast` number, since 5 + 9 + 5 + 7 + 145 + 5 + 5 + 485 + 0 = 666.

It is a super-2 number, since 2×5957145554850² (a number of 26 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 359 ways as a sum of consecutive naturals, for example, 15718061961 + ... + 15718062339.

It is an arithmetic number, because the mean of its divisors is an integer number (26961062700).

Almost surely, 2^{5957145554850} is an apocalyptic number.

5957145554850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5957145554850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9705982572000).

5957145554850 is an abundant number, since it is smaller than the sum of its proper divisors (13454819589150).

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

5957145554850 is a wasteful number, since it uses less digits than its factorization.

5957145554850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 126000000, while the sum is 63.

The spelling of 5957145554850 in words is "five trillion, nine hundred fifty-seven billion, one hundred forty-five million, five hundred fifty-four thousand, eight hundred fifty".