10165781040 has 320 divisors, whose sum is σ = 35133751296. Its totient is φ = 2418425856.

The previous prime is 10165781029. The next prime is 10165781077. The reversal of 10165781040 is 4018756101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10165780992 and 10165781010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11917254 + ... + 11918106.

Almost surely, 2^10165781040 is an apocalyptic number.

10165781040 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 10165781040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17566875648).

10165781040 is an abundant number, since it is smaller than the sum of its proper divisors (24967970256).

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

10165781040 is a wasteful number, since it uses less digits than its factorization.

10165781040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 10165781040 in words is "ten billion, one hundred sixty-five million, seven hundred eighty-one thousand, forty".