10864694400 has 384 divisors, whose sum is σ = 41307356160. Its totient is φ = 2458521600.

The previous prime is 10864694389. The next prime is 10864694411. The reversal of 10864694400 is 449646801.

It is an interprime number because it is at equal distance from previous prime (10864694389) and next prime (10864694411).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7189645 + ... + 7191155.

It is an arithmetic number, because the mean of its divisors is an integer number (107571240).

Almost surely, 2^10864694400 is an apocalyptic number.

10864694400 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 10864694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20653678080).

10864694400 is an abundant number, since it is smaller than the sum of its proper divisors (30442661760).

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

10864694400 is a wasteful number, since it uses less digits than its factorization.

10864694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 10864694400 in words is "ten billion, eight hundred sixty-four million, six hundred ninety-four thousand, four hundred".