10856235743080 has 384 divisors, whose sum is σ = 31090401607680. Its totient is φ = 3338136023040.

The previous prime is 10856235743069. The next prime is 10856235743131. The reversal of 10856235743080 is 8034753265801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1325381785 + ... + 1325389975.

It is an arithmetic number, because the mean of its divisors is an integer number (80964587520).

Almost surely, 2^{10856235743080} is an apocalyptic number.

10856235743080 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 10856235743080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15545200803840).

10856235743080 is an abundant number, since it is smaller than the sum of its proper divisors (20234165864600).

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

10856235743080 is a wasteful number, since it uses less digits than its factorization.

10856235743080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9029 (or 9012 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 10856235743080 in words is "ten trillion, eight hundred fifty-six billion, two hundred thirty-five million, seven hundred forty-three thousand, eighty".