10802567949264 has 1280 divisors, whose sum is σ = 41357352960000. Its totient is φ = 2620187523072.

The previous prime is 10802567949263. The next prime is 10802567949269. The reversal of 10802567949264 is 46294976520801.

10802567949264 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 2 + 567 + 9 + 4 + 9 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10802567949263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5749103877 + ... + 5749105755.

It is an arithmetic number, because the mean of its divisors is an integer number (32310432000).

Almost surely, 2^{10802567949264} is an apocalyptic number.

10802567949264 is a gapful number since it is divisible by the number (14) 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 10802567949264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20678676480000).

10802567949264 is an abundant number, since it is smaller than the sum of its proper divisors (30554785010736).

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

10802567949264 is a wasteful number, since it uses less digits than its factorization.

10802567949264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 10802567949264 in words is "ten trillion, eight hundred two billion, five hundred sixty-seven million, nine hundred forty-nine thousand, two hundred sixty-four".