10198122480 has 640 divisors, whose sum is σ = 43630540800. Its totient is φ = 2144683008.

The previous prime is 10198122439. The next prime is 10198122481. The reversal of 10198122480 is 8422189101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10198122481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33218487 + ... + 33218793.

It is an arithmetic number, because the mean of its divisors is an integer number (68172720).

Almost surely, 2^10198122480 is an apocalyptic number.

10198122480 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 10198122480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21815270400).

10198122480 is an abundant number, since it is smaller than the sum of its proper divisors (33432418320).

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

10198122480 is a wasteful number, since it uses less digits than its factorization.

10198122480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 10198122480 in words is "ten billion, one hundred ninety-eight million, one hundred twenty-two thousand, four hundred eighty".