10867802400 has 1440 divisors, whose sum is σ = 51875429760. Its totient is φ = 2149908480.

The previous prime is 10867802357. The next prime is 10867802423. The reversal of 10867802400 is 420876801.

It is a tau number, because it is divible by the number of its divisors (1440).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 112039152 + ... + 112039248.

It is an arithmetic number, because the mean of its divisors is an integer number (36024604).

Almost surely, 2^10867802400 is an apocalyptic number.

10867802400 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 10867802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25937714880).

10867802400 is an abundant number, since it is smaller than the sum of its proper divisors (41007627360).

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

10867802400 is a wasteful number, since it uses less digits than its factorization.

10867802400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10867802400 in words is "ten billion, eight hundred sixty-seven million, eight hundred two thousand, four hundred".