264991881024 has 252 divisors, whose sum is σ = 852943212576. Its totient is φ = 81535154688.

The previous prime is 264991880963. The next prime is 264991881029. The reversal of 264991881024 is 420188199462.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264991881029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2577877 + ... + 2678699.

It is an arithmetic number, because the mean of its divisors is an integer number (3384695288).

Almost surely, 2^264991881024 is an apocalyptic number.

264991881024 is a gapful number since it is divisible by the number (24) 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 264991881024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426471606288).

264991881024 is an abundant number, since it is smaller than the sum of its proper divisors (587951331552).

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

264991881024 is a wasteful number, since it uses less digits than its factorization.

264991881024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100876 (or 100841 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 264991881024 in words is "two hundred sixty-four billion, nine hundred ninety-one million, eight hundred eighty-one thousand, twenty-four".