264156899801040 has 800 divisors, whose sum is σ = 928717621767936. Its totient is φ = 69871353753600.

The previous prime is 264156899801033. The next prime is 264156899801051. The reversal of 264156899801040 is 40108998651462.

264156899801040 is a `hidden beast` number, since 2 + 6 + 415 + 6 + 8 + 99 + 80 + 10 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 184338380164 + ... + 184338381596.

Almost surely, 2^{264156899801040} is an apocalyptic number.

264156899801040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264156899801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464358810883968).

264156899801040 is an abundant number, since it is smaller than the sum of its proper divisors (664560721966896).

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

264156899801040 is an equidigital number, since it uses as much as digits as its factorization.

264156899801040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 264156899801040 in words is "two hundred sixty-four trillion, one hundred fifty-six billion, eight hundred ninety-nine million, eight hundred one thousand, forty".