68566481510400 has 1344 divisors, whose sum is σ = 255870480384000. Its totient is φ = 17999033794560.

The previous prime is 68566481510399. The next prime is 68566481510453. The reversal of 68566481510400 is 401518466586.

It is a happy number.

68566481510400 is a `hidden beast` number, since 6 + 8 + 5 + 6 + 6 + 4 + 81 + 510 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114468249301 + ... + 114468249899.

Almost surely, 2^{68566481510400} is an apocalyptic number.

68566481510400 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 68566481510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127935240192000).

68566481510400 is an abundant number, since it is smaller than the sum of its proper divisors (187303998873600).

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

68566481510400 is a wasteful number, since it uses less digits than its factorization.

68566481510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

Adding to 68566481510400 its reverse (401518466586), we get a palindrome (68967999976986).

The spelling of 68566481510400 in words is "sixty-eight trillion, five hundred sixty-six billion, four hundred eighty-one million, five hundred ten thousand, four hundred".