66131262400 has 252 divisors, whose sum is σ = 189929005968. Its totient is φ = 22597263360.

The previous prime is 66131262391. The next prime is 66131262409. The reversal of 66131262400 is 426213166.

It is an interprime number because it is at equal distance from previous prime (66131262391) and next prime (66131262409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66131262409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26419549 + ... + 26422051.

Almost surely, 2^66131262400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66131262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94964502984).

66131262400 is an abundant number, since it is smaller than the sum of its proper divisors (123797743568).

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

66131262400 is a wasteful number, since it uses less digits than its factorization.

66131262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 66131262400 its reverse (426213166), we get a palindrome (66557475566).

The spelling of 66131262400 in words is "sixty-six billion, one hundred thirty-one million, two hundred sixty-two thousand, four hundred".