10073116800 has 768 divisors, whose sum is σ = 39795667200. Its totient is φ = 2481684480.

The previous prime is 10073116793. The next prime is 10073116819. The reversal of 10073116800 is 861137001.

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 95 ways as a sum of consecutive naturals, for example, 73526332 + ... + 73526468.

It is an arithmetic number, because the mean of its divisors is an integer number (51817275).

Almost surely, 2^10073116800 is an apocalyptic number.

10073116800 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 10073116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19897833600).

10073116800 is an abundant number, since it is smaller than the sum of its proper divisors (29722550400).

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

10073116800 is a wasteful number, since it uses less digits than its factorization.

10073116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 10073116800 in words is "ten billion, seventy-three million, one hundred sixteen thousand, eight hundred".