21765060801 has 16 divisors (see below), whose sum is σ = 35175856320. Its totient is φ = 13190945760.

The previous prime is 21765060799. The next prime is 21765060803. The reversal of 21765060801 is 10806056712.

21765060801 is a `hidden beast` number, since 2 + 1 + 76 + 506 + 0 + 80 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (21765060799) and next prime (21765060803).

It is not a de Polignac number, because 21765060801 - 2¹ = 21765060799 is a prime.

It is a super-3 number, since 3×21765060801³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21765060803) 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, 36641220 + ... + 36641813.

It is an arithmetic number, because the mean of its divisors is an integer number (2198491020).

Almost surely, 2^21765060801 is an apocalyptic number.

It is an amenable number.

21765060801 is a deficient number, since it is larger than the sum of its proper divisors (13410795519).

21765060801 is a wasteful number, since it uses less digits than its factorization.

21765060801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73283053 (or 73283047 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 21765060801 in words is "twenty-one billion, seven hundred sixty-five million, sixty thousand, eight hundred one".