10780085632680 has 512 divisors, whose sum is σ = 44655412838400. Its totient is φ = 2252395164672.

The previous prime is 10780085632651. The next prime is 10780085632697. The reversal of 10780085632680 is 8623658008701.

10780085632680 is a `hidden beast` number, since 1 + 0 + 78 + 0 + 0 + 8 + 563 + 2 + 6 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9590377 + ... + 10655303.

It is an arithmetic number, because the mean of its divisors is an integer number (87217603200).

Almost surely, 2^{10780085632680} is an apocalyptic number.

10780085632680 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 10780085632680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22327706419200).

10780085632680 is an abundant number, since it is smaller than the sum of its proper divisors (33875327205720).

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

10780085632680 is a wasteful number, since it uses less digits than its factorization.

10780085632680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065070 (or 1065060 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 10780085632680 in words is "ten trillion, seven hundred eighty billion, eighty-five million, six hundred thirty-two thousand, six hundred eighty".