55646138708160 has 672 divisors, whose sum is σ = 241452016065792. Its totient is φ = 10673383956480.

The previous prime is 55646138708159. The next prime is 55646138708177. The reversal of 55646138708160 is 6180783164655.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 55646138708094 and 55646138708103.

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, 2590519 + ... + 10862921.

It is an arithmetic number, because the mean of its divisors is an integer number (359303595336).

Almost surely, 2^{55646138708160} 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 55646138708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120726008032896).

55646138708160 is an abundant number, since it is smaller than the sum of its proper divisors (185805877357632).

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

55646138708160 is a wasteful number, since it uses less digits than its factorization.

55646138708160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8272461 (or 8272444 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 55646138708160 in words is "fifty-five trillion, six hundred forty-six billion, one hundred thirty-eight million, seven hundred eight thousand, one hundred sixty".