10035780144 has 80 divisors (see below), whose sum is σ = 28060704000. Its totient is φ = 3072377088.

The previous prime is 10035780127. The next prime is 10035780163. The reversal of 10035780144 is 44108753001.

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, 83767 + ... + 164585.

It is an arithmetic number, because the mean of its divisors is an integer number (350758800).

Almost surely, 2^10035780144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10035780144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14030352000).

10035780144 is an abundant number, since it is smaller than the sum of its proper divisors (18024923856).

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

10035780144 is a wasteful number, since it uses less digits than its factorization.

10035780144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81042 (or 81036 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 10035780144 in words is "ten billion, thirty-five million, seven hundred eighty thousand, one hundred forty-four".