10219117225824 has 288 divisors, whose sum is σ = 31371359423040. Its totient is φ = 3136788135936.

The previous prime is 10219117225813. The next prime is 10219117225841. The reversal of 10219117225824 is 42852271191201.

10219117225824 is a `hidden beast` number, since 10 + 21 + 9 + 1 + 17 + 22 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 10219117225824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3539699709 + ... + 3539702595.

It is an arithmetic number, because the mean of its divisors is an integer number (108928331330).

Almost surely, 2^{10219117225824} 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 10219117225824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685679711520).

10219117225824 is an abundant number, since it is smaller than the sum of its proper divisors (21152242197216).

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

10219117225824 is a wasteful number, since it uses less digits than its factorization.

10219117225824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4862 (or 4851 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10219117225824 in words is "ten trillion, two hundred nineteen billion, one hundred seventeen million, two hundred twenty-five thousand, eight hundred twenty-four".