10782478080000 has 1920 divisors, whose sum is σ = 44101318060800. Its totient is φ = 2580480000000.

The previous prime is 10782478079959. The next prime is 10782478080161. The reversal of 10782478080000 is 8087428701.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 42958079875 + ... + 42958080125.

It is an arithmetic number, because the mean of its divisors is an integer number (22969436490).

Almost surely, 2^{10782478080000} is an apocalyptic number.

10782478080000 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 10782478080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22050659030400).

10782478080000 is an abundant number, since it is smaller than the sum of its proper divisors (33318839980800).

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

10782478080000 is a wasteful number, since it uses less digits than its factorization.

10782478080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 10782478080000 in words is "ten trillion, seven hundred eighty-two billion, four hundred seventy-eight million, eighty thousand".