21506142770001 has 48 divisors (see below), whose sum is σ = 32354246695680. Its totient is φ = 13753971936000.

The previous prime is 21506142769981. The next prime is 21506142770011. The reversal of 21506142770001 is 10007724160512.

21506142770001 is a `hidden beast` number, since 2 + 1 + 506 + 142 + 7 + 7 + 0 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 21506142770001 - 2¹³ = 21506142761809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21506142770011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70052406 + ... + 70358736.

It is an arithmetic number, because the mean of its divisors is an integer number (674046806160).

Almost surely, 2^{21506142770001} is an apocalyptic number.

It is an amenable number.

21506142770001 is a deficient number, since it is larger than the sum of its proper divisors (10848103925679).

21506142770001 is a wasteful number, since it uses less digits than its factorization.

21506142770001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309558 (or 309555 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 21506142770001 in words is "twenty-one trillion, five hundred six billion, one hundred forty-two million, seven hundred seventy thousand, one".