10235219904 has 336 divisors, whose sum is σ = 37278259200. Its totient is φ = 2611906560.

The previous prime is 10235219849. The next prime is 10235219947. The reversal of 10235219904 is 40991253201.

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 1621747 + ... + 1628045.

It is an arithmetic number, because the mean of its divisors is an integer number (110947200).

Almost surely, 2^10235219904 is an apocalyptic number.

10235219904 is a gapful number since it is divisible by the number (14) 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 10235219904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18639129600).

10235219904 is an abundant number, since it is smaller than the sum of its proper divisors (27043039296).

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

10235219904 is a wasteful number, since it uses less digits than its factorization.

10235219904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6368 (or 6355 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10235219904 in words is "ten billion, two hundred thirty-five million, two hundred nineteen thousand, nine hundred four".