10220791680 has 512 divisors, whose sum is σ = 41825548800. Its totient is φ = 2331279360.

The previous prime is 10220791673. The next prime is 10220791699. The reversal of 10220791680 is 8619702201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3229779 + ... + 3232941.

It is an arithmetic number, because the mean of its divisors is an integer number (81690525).

Almost surely, 2^10220791680 is an apocalyptic number.

10220791680 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 10220791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20912774400).

10220791680 is an abundant number, since it is smaller than the sum of its proper divisors (31604757120).

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

10220791680 is a wasteful number, since it uses less digits than its factorization.

10220791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10220791680 in words is "ten billion, two hundred twenty million, seven hundred ninety-one thousand, six hundred eighty".