264428100000 has 432 divisors, whose sum is σ = 949531335480. Its totient is φ = 69792000000.

The previous prime is 264428099987. The next prime is 264428100007. The reversal of 264428100000 is 1824462.

264428100000 is a `hidden beast` number, since 2 + 644 + 2 + 8 + 10 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 15957752976 + 248470347024 = 126324^2 + 498468^2 .

It is a super-2 number, since 2×264428100000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264428100007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90898546 + ... + 90901454.

Almost surely, 2^264428100000 is an apocalyptic number.

264428100000 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 264428100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474765667740).

264428100000 is an abundant number, since it is smaller than the sum of its proper divisors (685103235480).

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

264428100000 is a wasteful number, since it uses less digits than its factorization.

264428100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 264428100000 its reverse (1824462), we get a palindrome (264429924462).

The spelling of 264428100000 in words is "two hundred sixty-four billion, four hundred twenty-eight million, one hundred thousand".