10802781864000 has 2688 divisors, whose sum is σ = 48568246272000. Its totient is φ = 2339443814400.

The previous prime is 10802781863983. The next prime is 10802781864011. The reversal of 10802781864000 is 46818720801.

10802781864000 is a `hidden beast` number, since 10 + 80 + 2 + 7 + 81 + 86 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 48442967889 + ... + 48442968111.

It is an arithmetic number, because the mean of its divisors is an integer number (18068544000).

Almost surely, 2^{10802781864000} is an apocalyptic number.

10802781864000 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 10802781864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24284123136000).

10802781864000 is an abundant number, since it is smaller than the sum of its proper divisors (37765464408000).

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

10802781864000 is a wasteful number, since it uses less digits than its factorization.

10802781864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 10802781864000 in words is "ten trillion, eight hundred two billion, seven hundred eighty-one million, eight hundred sixty-four thousand".