264432505011507 has 96 divisors (see below), whose sum is σ = 463937433103872. Its totient is φ = 141681772311552.

The previous prime is 264432505011431. The next prime is 264432505011523. The reversal of 264432505011507 is 705110505234462.

264432505011507 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 32 + 50 + 50 + 11 + 507 = 666.

It is not a de Polignac number, because 264432505011507 - 2¹⁴ = 264432504995123 is a prime.

It is a super-2 number, since 2×264432505011507² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264432505011557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2160564568 + ... + 2160686954.

It is an arithmetic number, because the mean of its divisors is an integer number (4832681594832).

Almost surely, 2^{264432505011507} is an apocalyptic number.

264432505011507 is a deficient number, since it is larger than the sum of its proper divisors (199504928092365).

264432505011507 is a wasteful number, since it uses less digits than its factorization.

264432505011507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129977 (or 129974 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 264432505011507 in words is "two hundred sixty-four trillion, four hundred thirty-two billion, five hundred five million, eleven thousand, five hundred seven".