153006400001 has 16 divisors (see below), whose sum is σ = 189065858688. Its totient is φ = 120577680000.

The previous prime is 153006399989. The next prime is 153006400003. The reversal of 153006400001 is 100004600351.

It is a cyclic number.

It is not a de Polignac number, because 153006400001 - 2³⁰ = 151932658177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (153006400003) 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 15 ways as a sum of consecutive naturals, for example, 3326540 + ... + 3372221.

It is an arithmetic number, because the mean of its divisors is an integer number (11816616168).

Almost surely, 2^153006400001 is an apocalyptic number.

It is an amenable number.

153006400001 is a deficient number, since it is larger than the sum of its proper divisors (36059458687).

153006400001 is a wasteful number, since it uses less digits than its factorization.

153006400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6699032.

The product of its (nonzero) digits is 360, while the sum is 20.

The spelling of 153006400001 in words is "one hundred fifty-three billion, six million, four hundred thousand, one".