55642810630080 has 224 divisors, whose sum is σ = 177345714627648. Its totient is φ = 14781018112000.

The previous prime is 55642810630079. The next prime is 55642810630087. The reversal of 55642810630080 is 8003601824655.

It is a happy number.

55642810630080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55642810630080² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55642810630087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 998353894 + ... + 998409626.

It is an arithmetic number, because the mean of its divisors is an integer number (791721940302).

Almost surely, 2^{55642810630080} 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 55642810630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88672857313824).

55642810630080 is an abundant number, since it is smaller than the sum of its proper divisors (121702903997568).

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

55642810630080 is a wasteful number, since it uses less digits than its factorization.

55642810630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59735 (or 59725 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 55642810630080 in words is "fifty-five trillion, six hundred forty-two billion, eight hundred ten million, six hundred thirty thousand, eighty".