10188722350080 has 672 divisors, whose sum is σ = 36763434489600. Its totient is φ = 2708860796928.

The previous prime is 10188722350069. The next prime is 10188722350111. The reversal of 10188722350080 is 8005322788101.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2739638461 + ... + 2739642179.

It is an arithmetic number, because the mean of its divisors is an integer number (54707491800).

Almost surely, 2^{10188722350080} is an apocalyptic number.

10188722350080 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 10188722350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18381717244800).

10188722350080 is an abundant number, since it is smaller than the sum of its proper divisors (26574712139520).

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

10188722350080 is an frugal number, since it uses more digits than its factorization.

10188722350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 10188722350080 in words is "ten trillion, one hundred eighty-eight billion, seven hundred twenty-two million, three hundred fifty thousand, eighty".