264434635264100 has 144 divisors (see below), whose sum is σ = 658665414965376. Its totient is φ = 90266934912000.

The previous prime is 264434635264091. The next prime is 264434635264147. The reversal of 264434635264100 is 1462536434462.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2272087910 + ... + 2272204290.

It is an arithmetic number, because the mean of its divisors is an integer number (4574065381704).

Almost surely, 2^{264434635264100} is an apocalyptic number.

264434635264100 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 264434635264100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329332707482688).

264434635264100 is an abundant number, since it is smaller than the sum of its proper divisors (394230779701276).

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

264434635264100 is a wasteful number, since it uses less digits than its factorization.

264434635264100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130566 (or 130559 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 50.

The spelling of 264434635264100 in words is "two hundred sixty-four trillion, four hundred thirty-four billion, six hundred thirty-five million, two hundred sixty-four thousand, one hundred".