66225262052400 has 240 divisors, whose sum is σ = 232126379591808. Its totient is φ = 16006104576000.

The previous prime is 66225262052351. The next prime is 66225262052407. The reversal of 66225262052400 is 425026252266.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×66225262052400³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (66225262052407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3209449 + ... + 11947848.

Almost surely, 2^{66225262052400} is an apocalyptic number.

66225262052400 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 66225262052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116063189795904).

66225262052400 is an abundant number, since it is smaller than the sum of its proper divisors (165901117539408).

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

66225262052400 is a wasteful number, since it uses less digits than its factorization.

66225262052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15157660 (or 15157649 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 66225262052400 in words is "sixty-six trillion, two hundred twenty-five billion, two hundred sixty-two million, fifty-two thousand, four hundred".