10509797499264 has 256 divisors, whose sum is σ = 35608699392000. Its totient is φ = 2989332283392.

The previous prime is 10509797499221. The next prime is 10509797499277. The reversal of 10509797499264 is 46299479790501.

10509797499264 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 9 + 79 + 7 + 499 + 2 + 64 = 666.

It is a super-2 number, since 2×10509797499264² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10509797499192 and 10509797499201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4420752 + ... + 6368880.

It is an arithmetic number, because the mean of its divisors is an integer number (139096482000).

Almost surely, 2^{10509797499264} is an apocalyptic number.

10509797499264 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 10509797499264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17804349696000).

10509797499264 is an abundant number, since it is smaller than the sum of its proper divisors (25098901892736).

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

10509797499264 is a wasteful number, since it uses less digits than its factorization.

10509797499264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948382 (or 1948364 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 10509797499264 in words is "ten trillion, five hundred nine billion, seven hundred ninety-seven million, four hundred ninety-nine thousand, two hundred sixty-four".