10074438582208 has 448 divisors, whose sum is σ = 27430244352000. Its totient is φ = 3617783930880.

The previous prime is 10074438582161. The next prime is 10074438582211. The reversal of 10074438582208 is 80228583447001.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10074438582208² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2539559041 + ... + 2539563007.

It is an arithmetic number, because the mean of its divisors is an integer number (61228224000).

Almost surely, 2^{10074438582208} 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 10074438582208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13715122176000).

10074438582208 is an abundant number, since it is smaller than the sum of its proper divisors (17355805769792).

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

10074438582208 is a wasteful number, since it uses less digits than its factorization.

10074438582208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 52.

The spelling of 10074438582208 in words is "ten trillion, seventy-four billion, four hundred thirty-eight million, five hundred eighty-two thousand, two hundred eight".