10802786400 has 576 divisors, whose sum is σ = 45882063360. Its totient is φ = 2401228800.

The previous prime is 10802786389. The next prime is 10802786419. The reversal of 10802786400 is 468720801.

10802786400 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 2 + 7 + 8 + 640 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 5593435 + ... + 5595365.

It is an arithmetic number, because the mean of its divisors is an integer number (79656360).

Almost surely, 2^10802786400 is an apocalyptic number.

10802786400 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 10802786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22941031680).

10802786400 is an abundant number, since it is smaller than the sum of its proper divisors (35079276960).

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

10802786400 is a wasteful number, since it uses less digits than its factorization.

10802786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1985 counting only the distinct ones).

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

The spelling of 10802786400 in words is "ten billion, eight hundred two million, seven hundred eighty-six thousand, four hundred".