10265353920 has 168 divisors, whose sum is σ = 35622134496. Its totient is φ = 2713116672.

The previous prime is 10265353883. The next prime is 10265353921. The reversal of 10265353920 is 2935356201.

10265353920 is a `hidden beast` number, since 1 + 0 + 265 + 3 + 5 + 392 + 0 = 666.

It is a super-2 number, since 2×10265353920² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10265353921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309669 + ... + 341211.

Almost surely, 2^10265353920 is an apocalyptic number.

10265353920 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 10265353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811067248).

10265353920 is an abundant number, since it is smaller than the sum of its proper divisors (25356780576).

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

10265353920 is a wasteful number, since it uses less digits than its factorization.

10265353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31679 (or 31666 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 10265353920 in words is "ten billion, two hundred sixty-five million, three hundred fifty-three thousand, nine hundred twenty".