5681958387300 has 432 divisors, whose sum is σ = 19812261465360. Its totient is φ = 1352951009280.

The previous prime is 5681958387289. The next prime is 5681958387353. The reversal of 5681958387300 is 37838591865.

5681958387300 is a `hidden beast` number, since 5 + 6 + 8 + 19 + 583 + 8 + 7 + 30 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1685733496164 + 3996224891136 = 1298358^2 + 1999056^2 .

It is a super-2 number, since 2×5681958387300² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74853766 + ... + 74929634.

It is an arithmetic number, because the mean of its divisors is an integer number (45861716355).

Almost surely, 2^{5681958387300} is an apocalyptic number.

5681958387300 is a gapful number since it is divisible by the number (50) 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 5681958387300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906130732680).

5681958387300 is an abundant number, since it is smaller than the sum of its proper divisors (14130303078060).

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

5681958387300 is a wasteful number, since it uses less digits than its factorization.

5681958387300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76112 (or 76102 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 5681958387300 in words is "five trillion, six hundred eighty-one billion, nine hundred fifty-eight million, three hundred eighty-seven thousand, three hundred".