64131521126400 has 6048 divisors, whose sum is σ = 317821235222400. Its totient is φ = 12735102320640.

The previous prime is 64131521126371. The next prime is 64131521126419. The reversal of 64131521126400 is 462112513146.

64131521126400 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 1 + 5 + 2 + 1 + 1 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-2 number, since 2×64131521126400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3772442419192 + ... + 3772442419208.

Almost surely, 2^{64131521126400} is an apocalyptic number.

64131521126400 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 64131521126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158910617611200).

64131521126400 is an abundant number, since it is smaller than the sum of its proper divisors (253689714096000).

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

64131521126400 is an equidigital number, since it uses as much as digits as its factorization.

64131521126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 64131521126400 its reverse (462112513146), we get a palindrome (64593633639546).

The spelling of 64131521126400 in words is "sixty-four trillion, one hundred thirty-one billion, five hundred twenty-one million, one hundred twenty-six thousand, four hundred".