21517150040712 has 96 divisors (see below), whose sum is σ = 58855942318680. Its totient is φ = 7100966476800.

The previous prime is 21517150040693. The next prime is 21517150040731. The reversal of 21517150040712 is 21704005171512.

It is a happy number.

21517150040712 is a `hidden beast` number, since 2 + 15 + 1 + 71 + 500 + 4 + 0 + 71 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21517150040693) and next prime (21517150040731).

It can be written as a sum of positive squares in 4 ways, for example, as 20922884815716 + 594265224996 = 4574154^2 + 770886^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145315098 + ... + 145463094.

Almost surely, 2^{21517150040712} is an apocalyptic number.

It is an amenable number.

21517150040712 is an abundant number, since it is smaller than the sum of its proper divisors (37338792277968).

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

21517150040712 is a wasteful number, since it uses less digits than its factorization.

21517150040712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168103 (or 168096 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 21517150040712 in words is "twenty-one trillion, five hundred seventeen billion, one hundred fifty million, forty thousand, seven hundred twelve".