10801702080 has 448 divisors, whose sum is σ = 43458871680. Its totient is φ = 2502033408.

The previous prime is 10801702069. The next prime is 10801702091. The reversal of 10801702080 is 8020710801.

It is an interprime number because it is at equal distance from previous prime (10801702069) and next prime (10801702091).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1906612 + ... + 1912268.

It is an arithmetic number, because the mean of its divisors is an integer number (97006410).

Almost surely, 2^10801702080 is an apocalyptic number.

10801702080 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 10801702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21729435840).

10801702080 is an abundant number, since it is smaller than the sum of its proper divisors (32657169600).

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

10801702080 is a wasteful number, since it uses less digits than its factorization.

10801702080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5713 (or 5697 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 10801702080 in words is "ten billion, eight hundred one million, seven hundred two thousand, eighty".