264401103505000 has 320 divisors, whose sum is σ = 797268056555520. Its totient is φ = 79752319200000.

The previous prime is 264401103504997. The next prime is 264401103505013. The reversal of 264401103505000 is 505301104462.

It is a happy number.

264401103505000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 858289 + ... + 23011711.

It is an arithmetic number, because the mean of its divisors is an integer number (2491462676736).

Almost surely, 2^{264401103505000} is an apocalyptic number.

264401103505000 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 264401103505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398634028277760).

264401103505000 is an abundant number, since it is smaller than the sum of its proper divisors (532866953050520).

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

264401103505000 is a wasteful number, since it uses less digits than its factorization.

264401103505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22153498 (or 22153479 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 264401103505000 its reverse (505301104462), we get a palindrome (264906404609462).

The spelling of 264401103505000 in words is "two hundred sixty-four trillion, four hundred one billion, one hundred three million, five hundred five thousand".