21345762627 has 16 divisors (see below), whose sum is σ = 36140974080. Its totient is φ = 12197578536.

The previous prime is 21345762601. The next prime is 21345762631. The reversal of 21345762627 is 72626754312.

21345762627 is a `hidden beast` number, since 2 + 1 + 34 + 576 + 26 + 27 = 666.

It is not a de Polignac number, because 21345762627 - 2⁶ = 21345762563 is a prime.

It is a super-2 number, since 2×21345762627² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (21345762727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56470083 + ... + 56470460.

It is an arithmetic number, because the mean of its divisors is an integer number (2258810880).

Almost surely, 2^21345762627 is an apocalyptic number.

21345762627 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

21345762627 is a deficient number, since it is larger than the sum of its proper divisors (14795211453).

21345762627 is a wasteful number, since it uses less digits than its factorization.

21345762627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112940559 (or 112940553 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 21345762627 in words is "twenty-one billion, three hundred forty-five million, seven hundred sixty-two thousand, six hundred twenty-seven".