264911479560 has 512 divisors, whose sum is σ = 1103064883200. Its totient is φ = 55057812480.

The previous prime is 264911479523. The next prime is 264911479571. The reversal of 264911479560 is 65974119462.

264911479560 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 1 + 1 + 4 + 79 + 560 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 264911479497 and 264911479506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6564645 + ... + 6604875.

It is an arithmetic number, because the mean of its divisors is an integer number (2154423600).

Almost surely, 2^264911479560 is an apocalyptic number.

264911479560 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 264911479560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551532441600).

264911479560 is an abundant number, since it is smaller than the sum of its proper divisors (838153403640).

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

264911479560 is a wasteful number, since it uses less digits than its factorization.

264911479560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40338 (or 40328 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

It can be divided in two parts, 26491 and 1479560, that added together give a palindrome (1506051).

The spelling of 264911479560 in words is "two hundred sixty-four billion, nine hundred eleven million, four hundred seventy-nine thousand, five hundred sixty".