10965740400 has 90 divisors (see below), whose sum is σ = 38054177720. Its totient is φ = 2924196480.

The previous prime is 10965740371. The next prime is 10965740447. The reversal of 10965740400 is 404756901.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1519420 + ... + 1526619.

Almost surely, 2^10965740400 is an apocalyptic number.

10965740400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10965740400 is an abundant number, since it is smaller than the sum of its proper divisors (27088437320).

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

10965740400 is a wasteful number, since it uses less digits than its factorization.

10965740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046063 (or 3046049 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10965740400 in words is "ten billion, nine hundred sixty-five million, seven hundred forty thousand, four hundred".