10269819840 has 336 divisors, whose sum is σ = 38133662112. Its totient is φ = 2334818304.

The previous prime is 10269819823. The next prime is 10269819869. The reversal of 10269819840 is 4891896201.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10269819840.

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, 10959852 + ... + 10960788.

It is an arithmetic number, because the mean of its divisors is an integer number (113493042).

Almost surely, 2^10269819840 is an apocalyptic number.

10269819840 is a gapful number since it is divisible by the number (10) 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 10269819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19066831056).

10269819840 is an abundant number, since it is smaller than the sum of its proper divisors (27863842272).

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

10269819840 is a wasteful number, since it uses less digits than its factorization.

10269819840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 10269819840 in words is "ten billion, two hundred sixty-nine million, eight hundred nineteen thousand, eight hundred forty".