10220097888 has 864 divisors, whose sum is σ = 41092676352. Its totient is φ = 2426112000.

The previous prime is 10220097883. The next prime is 10220097919. The reversal of 10220097888 is 88879002201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220097883) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101189038 + ... + 101189138.

It is an arithmetic number, because the mean of its divisors is an integer number (47560968).

Almost surely, 2^10220097888 is an apocalyptic number.

10220097888 is a gapful number since it is divisible by the number (18) 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 10220097888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20546338176).

10220097888 is an abundant number, since it is smaller than the sum of its proper divisors (30872578464).

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

10220097888 is a wasteful number, since it uses less digits than its factorization.

10220097888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 10220097888 in words is "ten billion, two hundred twenty million, ninety-seven thousand, eight hundred eighty-eight".