21142860960 has 96 divisors (see below), whose sum is σ = 71723111040. Its totient is φ = 5204395008.

The previous prime is 21142860953. The next prime is 21142860967. The reversal of 21142860960 is 6906824112.

It is an interprime number because it is at equal distance from previous prime (21142860953) and next prime (21142860967).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (21142860967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687900 + ... + 1700379.

It is an arithmetic number, because the mean of its divisors is an integer number (747115740).

Almost surely, 2^21142860960 is an apocalyptic number.

21142860960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21142860960 is an abundant number, since it is smaller than the sum of its proper divisors (50580250080).

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

21142860960 is a wasteful number, since it uses less digits than its factorization.

21142860960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388310 (or 3388302 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 21142860960 in words is "twenty-one billion, one hundred forty-two million, eight hundred sixty thousand, nine hundred sixty".