10219932864 has 112 divisors (see below), whose sum is σ = 30165690240. Its totient is φ = 3392928000.

The previous prime is 10219932841. The next prime is 10219932887. The reversal of 10219932864 is 46823991201.

It is an interprime number because it is at equal distance from previous prime (10219932841) and next prime (10219932887).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421947 + ... + 445509.

It is an arithmetic number, because the mean of its divisors is an integer number (269336520).

Almost surely, 2^10219932864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10219932864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082845120).

10219932864 is an abundant number, since it is smaller than the sum of its proper divisors (19945757376).

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

10219932864 is a wasteful number, since it uses less digits than its factorization.

10219932864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23835 (or 23819 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10219932864 in words is "ten billion, two hundred nineteen million, nine hundred thirty-two thousand, eight hundred sixty-four".