10265905607040 has 96 divisors (see below), whose sum is σ = 35449455319200. Its totient is φ = 2737574827008.

The previous prime is 10265905607011. The next prime is 10265905607047. The reversal of 10265905607040 is 4070650956201.

10265905607040 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 590 + 56 + 0 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10265905607047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 891131880 + ... + 891143399.

It is an arithmetic number, because the mean of its divisors is an integer number (369265159575).

Almost surely, 2^{10265905607040} is an apocalyptic number.

10265905607040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10265905607040 is an abundant number, since it is smaller than the sum of its proper divisors (25183549712160).

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

10265905607040 is a wasteful number, since it uses less digits than its factorization.

10265905607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782275304 (or 1782275289 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 10265905607040 in words is "ten trillion, two hundred sixty-five billion, nine hundred five million, six hundred seven thousand, forty".