20407173743007 has 96 divisors (see below), whose sum is σ = 32353647056640. Its totient is φ = 12707126752320.

The previous prime is 20407173743003. The next prime is 20407173743023. The reversal of 20407173743007 is 70034737170402.

20407173743007 is a `hidden beast` number, since 2 + 0 + 40 + 7 + 173 + 7 + 430 + 0 + 7 = 666.

It is not a de Polignac number, because 20407173743007 - 2² = 20407173743003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20407173743003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159662908 + ... + 159790670.

It is an arithmetic number, because the mean of its divisors is an integer number (337017156840).

Almost surely, 2^{20407173743007} is an apocalyptic number.

20407173743007 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

20407173743007 is a deficient number, since it is larger than the sum of its proper divisors (11946473313633).

20407173743007 is a wasteful number, since it uses less digits than its factorization.

20407173743007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128082 (or 128053 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The spelling of 20407173743007 in words is "twenty trillion, four hundred seven billion, one hundred seventy-three million, seven hundred forty-three thousand, seven".