21864714240 has 208 divisors, whose sum is σ = 70298438400. Its totient is φ = 5802295296.

The previous prime is 21864714211. The next prime is 21864714269. The reversal of 21864714240 is 4241746812.

It is an interprime number because it is at equal distance from previous prime (21864714211) and next prime (21864714269).

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, 14683416 + ... + 14684904.

Almost surely, 2^21864714240 is an apocalyptic number.

21864714240 is a gapful number since it is divisible by the number (20) 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 21864714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35149219200).

21864714240 is an abundant number, since it is smaller than the sum of its proper divisors (48433724160).

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

21864714240 is a wasteful number, since it uses less digits than its factorization.

21864714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 21864714240 in words is "twenty-one billion, eight hundred sixty-four million, seven hundred fourteen thousand, two hundred forty".