10264520340 has 96 divisors (see below), whose sum is σ = 31967953920. Its totient is φ = 2734300800.

The previous prime is 10264520257. The next prime is 10264520351. The reversal of 10264520340 is 4302546201.

10264520340 is a `hidden beast` number, since 10 + 2 + 645 + 2 + 0 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525550 + ... + 544730.

It is an arithmetic number, because the mean of its divisors is an integer number (332999520).

Almost surely, 2^10264520340 is an apocalyptic number.

10264520340 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 10264520340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15983976960).

10264520340 is an abundant number, since it is smaller than the sum of its proper divisors (21703433580).

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

10264520340 is a wasteful number, since it uses less digits than its factorization.

10264520340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20190 (or 20182 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 10264520340 in words is "ten billion, two hundred sixty-four million, five hundred twenty thousand, three hundred forty".