55101645125640 has 512 divisors, whose sum is σ = 199316666304000. Its totient is φ = 13494358425600.

The previous prime is 55101645125627. The next prime is 55101645125641. The reversal of 55101645125640 is 4652154610155.

55101645125640 is a `hidden beast` number, since 5 + 5 + 10 + 1 + 64 + 5 + 12 + 564 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55101645125641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131878660 + ... + 132295820.

It is an arithmetic number, because the mean of its divisors is an integer number (389290363875).

Almost surely, 2^{55101645125640} 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 55101645125640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99658333152000).

55101645125640 is an abundant number, since it is smaller than the sum of its proper divisors (144215021178360).

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

55101645125640 is a wasteful number, since it uses less digits than its factorization.

55101645125640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417398 (or 417388 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

Adding to 55101645125640 its reverse (4652154610155), we get a palindrome (59753799735795).

The spelling of 55101645125640 in words is "fifty-five trillion, one hundred one billion, six hundred forty-five million, one hundred twenty-five thousand, six hundred forty".