10701800810400 has 144 divisors (see below), whose sum is σ = 39810699077184. Its totient is φ = 2446125895680.

The previous prime is 10701800810387. The next prime is 10701800810413. The reversal of 10701800810400 is 401800810701.

It is an interprime number because it is at equal distance from previous prime (10701800810387) and next prime (10701800810413).

It is a super-2 number, since 2×10701800810400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318489177 + ... + 318522776.

It is an arithmetic number, because the mean of its divisors is an integer number (276463188036).

Almost surely, 2^{10701800810400} is an apocalyptic number.

10701800810400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10701800810400 is an abundant number, since it is smaller than the sum of its proper divisors (29108898266784).

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

10701800810400 is a wasteful number, since it uses less digits than its factorization.

10701800810400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637011983 (or 637011970 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The spelling of 10701800810400 in words is "ten trillion, seven hundred one billion, eight hundred million, eight hundred ten thousand, four hundred".