10015441533216 has 720 divisors, whose sum is σ = 35419612580352. Its totient is φ = 2768200323840.

The previous prime is 10015441533203. The next prime is 10015441533241. The reversal of 10015441533216 is 61233514451001.

10015441533216 is a `hidden beast` number, since 10 + 0 + 1 + 54 + 41 + 533 + 21 + 6 = 666.

10015441533216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3783694005 + ... + 3783696651.

Almost surely, 2^{10015441533216} is an apocalyptic number.

10015441533216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10015441533216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17709806290176).

10015441533216 is an abundant number, since it is smaller than the sum of its proper divisors (25404171047136).

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

10015441533216 is an frugal number, since it uses more digits than its factorization.

10015441533216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 10015441533216 its reverse (61233514451001), we get a palindrome (71248955984217).

The spelling of 10015441533216 in words is "ten trillion, fifteen billion, four hundred forty-one million, five hundred thirty-three thousand, two hundred sixteen".