10505610640 has 80 divisors (see below), whose sum is σ = 29128635648. Its totient is φ = 3445314048.

The previous prime is 10505610601. The next prime is 10505610667. The reversal of 10505610640 is 4601650501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10505610640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10505610599 and 10505610608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394947 + ... + 420706.

Almost surely, 2^10505610640 is an apocalyptic number.

10505610640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505610640 is an abundant number, since it is smaller than the sum of its proper divisors (18623025008).

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

10505610640 is a wasteful number, since it uses less digits than its factorization.

10505610640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815696 (or 815690 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 10505610640 in words is "ten billion, five hundred five million, six hundred ten thousand, six hundred forty".