10782734977872 has 400 divisors, whose sum is σ = 36696951244800. Its totient is φ = 3013469568000.

The previous prime is 10782734977867. The next prime is 10782734977897. The reversal of 10782734977872 is 27877943728701.

10782734977872 is a `hidden beast` number, since 107 + 8 + 27 + 3 + 497 + 7 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 10782734977872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 213287254 + ... + 213337802.

It is an arithmetic number, because the mean of its divisors is an integer number (91742378112).

Almost surely, 2^{10782734977872} is an apocalyptic number.

10782734977872 is a gapful number since it is divisible by the number (12) 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 10782734977872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18348475622400).

10782734977872 is an abundant number, since it is smaller than the sum of its proper divisors (25914216266928).

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

10782734977872 is a wasteful number, since it uses less digits than its factorization.

10782734977872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51744 (or 51729 counting only the distinct ones).

The product of its (nonzero) digits is 464679936, while the sum is 72.

The spelling of 10782734977872 in words is "ten trillion, seven hundred eighty-two billion, seven hundred thirty-four million, nine hundred seventy-seven thousand, eight hundred seventy-two".