21501560160 has 240 divisors, whose sum is σ = 76925461536. Its totient is φ = 5654956032.

The previous prime is 21501560153. The next prime is 21501560207. The reversal of 21501560160 is 6106510512.

It is a happy number.

21501560160 is a `hidden beast` number, since 2 + 1 + 50 + 1 + 5 + 601 + 6 + 0 = 666.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 934717 + ... + 957443.

Almost surely, 2^21501560160 is an apocalyptic number.

21501560160 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 21501560160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38462730768).

21501560160 is an abundant number, since it is smaller than the sum of its proper divisors (55423901376).

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

21501560160 is a wasteful number, since it uses less digits than its factorization.

21501560160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22827 (or 22810 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 21501560160 in words is "twenty-one billion, five hundred one million, five hundred sixty thousand, one hundred sixty".