65553986448000 has 1024 divisors, whose sum is σ = 243876655526400. Its totient is φ = 17306763264000.

The previous prime is 65553986447927. The next prime is 65553986448017. The reversal of 65553986448000 is 84468935556.

It is a happy number.

65553986448000 is a `hidden beast` number, since 6 + 5 + 5 + 5 + 3 + 98 + 64 + 480 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19786894344 + ... + 19786897656.

Almost surely, 2^{65553986448000} is an apocalyptic number.

65553986448000 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 65553986448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121938327763200).

65553986448000 is an abundant number, since it is smaller than the sum of its proper divisors (178322669078400).

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

65553986448000 is a wasteful number, since it uses less digits than its factorization.

65553986448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 65553986448000 in words is "sixty-five trillion, five hundred fifty-three billion, nine hundred eighty-six million, four hundred forty-eight thousand".