10785744400 has 60 divisors (see below), whose sum is σ = 25929982612. Its totient is φ = 4311429120.

The previous prime is 10785744391. The next prime is 10785744419. The reversal of 10785744400 is 444758701.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 43665664 + 10742078736 = 6608^2 + 103644^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 654664 + ... + 670936.

Almost surely, 2^10785744400 is an apocalyptic number.

10785744400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10785744400 is an abundant number, since it is smaller than the sum of its proper divisors (15144238212).

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

10785744400 is a wasteful number, since it uses less digits than its factorization.

10785744400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17948 (or 17937 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 10785744400 in words is "ten billion, seven hundred eighty-five million, seven hundred forty-four thousand, four hundred".