10219190688 has 360 divisors, whose sum is σ = 37025551332. Its totient is φ = 2747437056.

The previous prime is 10219190633. The next prime is 10219190693. The reversal of 10219190688 is 88609191201.

It can be written as a sum of positive squares in 2 ways, for example, as 10211506704 + 7683984 = 101052^2 + 2772^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2156770 + ... + 2161502.

Almost surely, 2^10219190688 is an apocalyptic number.

10219190688 is a gapful number since it is divisible by the number (18) 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 10219190688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18512775666).

10219190688 is an abundant number, since it is smaller than the sum of its proper divisors (26806360644).

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

10219190688 is a wasteful number, since it uses less digits than its factorization.

10219190688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786 (or 4762 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 10219190688 in words is "ten billion, two hundred nineteen million, one hundred ninety thousand, six hundred eighty-eight".