10204346880 has 960 divisors, whose sum is σ = 45185107968. Its totient is φ = 2070282240.

The previous prime is 10204346879. The next prime is 10204346881. The reversal of 10204346880 is 8864340201.

It is an interprime number because it is at equal distance from previous prime (10204346879) and next prime (10204346881).

It is a tau number, because it is divible by the number of its divisors (960).

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 (10204346881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64995762 + ... + 64995918.

Almost surely, 2^10204346880 is an apocalyptic number.

10204346880 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 10204346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22592553984).

10204346880 is an abundant number, since it is smaller than the sum of its proper divisors (34980761088).

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

10204346880 is a wasteful number, since it uses less digits than its factorization.

10204346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10204346880 in words is "ten billion, two hundred four million, three hundred forty-six thousand, eight hundred eighty".