10321909678080 has 4608 divisors, whose sum is σ = 52082721774720. Its totient is φ = 1926317998080.

The previous prime is 10321909678079. The next prime is 10321909678123. The reversal of 10321909678080 is 8087690912301.

10321909678080 is a `hidden beast` number, since 1 + 0 + 321 + 90 + 96 + 78 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 278970531822 + ... + 278970531858.

Almost surely, 2^{10321909678080} is an apocalyptic number.

10321909678080 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 10321909678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26041360887360).

10321909678080 is an abundant number, since it is smaller than the sum of its proper divisors (41760812096640).

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

10321909678080 is an equidigital number, since it uses as much as digits as its factorization.

10321909678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 10321909678080 in words is "ten trillion, three hundred twenty-one billion, nine hundred nine million, six hundred seventy-eight thousand, eighty".