10619388416 has 160 divisors (see below), whose sum is σ = 26233320960. Its totient is φ = 4181999616.

The previous prime is 10619388413. The next prime is 10619388431. The reversal of 10619388416 is 61488391601.

It is a super-2 number, since 2×10619388416² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10619388413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14769305 + ... + 14770023.

It is an arithmetic number, because the mean of its divisors is an integer number (163958256).

Almost surely, 2^10619388416 is an apocalyptic number.

10619388416 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 10619388416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13116660480).

10619388416 is an abundant number, since it is smaller than the sum of its proper divisors (15613932544).

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

10619388416 is an equidigital number, since it uses as much as digits as its factorization.

10619388416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 47.

The spelling of 10619388416 in words is "ten billion, six hundred nineteen million, three hundred eighty-eight thousand, four hundred sixteen".