10219602960 has 240 divisors, whose sum is σ = 41288607360. Its totient is φ = 2212945920.

The previous prime is 10219602937. The next prime is 10219602971. The reversal of 10219602960 is 6920691201.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42400 + ... + 149120.

It is an arithmetic number, because the mean of its divisors is an integer number (172035864).

Almost surely, 2^10219602960 is an apocalyptic number.

10219602960 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 10219602960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20644303680).

10219602960 is an abundant number, since it is smaller than the sum of its proper divisors (31069004400).

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

10219602960 is a wasteful number, since it uses less digits than its factorization.

10219602960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106766 (or 106757 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 10219602960 in words is "ten billion, two hundred nineteen million, six hundred two thousand, nine hundred sixty".