21464540160 has 792 divisors, whose sum is σ = 85353022080. Its totient is φ = 4589125632.

The previous prime is 21464540147. The next prime is 21464540173. The reversal of 21464540160 is 6104546412.

It is an interprime number because it is at equal distance from previous prime (21464540147) and next prime (21464540173).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 271703001 + ... + 271703079.

Almost surely, 2^21464540160 is an apocalyptic number.

21464540160 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 21464540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42676511040).

21464540160 is an abundant number, since it is smaller than the sum of its proper divisors (63888481920).

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

21464540160 is a wasteful number, since it uses less digits than its factorization.

21464540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 21464540160 in words is "twenty-one billion, four hundred sixty-four million, five hundred forty thousand, one hundred sixty".