10642581278550 has 288 divisors, whose sum is σ = 31887903168576. Its totient is φ = 2528143488000.

The previous prime is 10642581278513. The next prime is 10642581278551. The reversal of 10642581278550 is 5587218524601.

10642581278550 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 2 + 5 + 8 + 12 + 78 + 550 = 666.

It is a super-2 number, since 2×10642581278550² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642581278551) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18631695 + ... + 19194405.

It is an arithmetic number, because the mean of its divisors is an integer number (110721886002).

Almost surely, 2^{10642581278550} is an apocalyptic number.

10642581278550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10642581278550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15943951584288).

10642581278550 is an abundant number, since it is smaller than the sum of its proper divisors (21245321890026).

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

10642581278550 is a wasteful number, since it uses less digits than its factorization.

10642581278550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562856 (or 562848 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 10642581278550 in words is "ten trillion, six hundred forty-two billion, five hundred eighty-one million, two hundred seventy-eight thousand, five hundred fifty".