10264828514160 has 320 divisors, whose sum is σ = 37202088913920. Its totient is φ = 2315918499840.

The previous prime is 10264828514147. The next prime is 10264828514177. The reversal of 10264828514160 is 6141582846201.

It is a super-2 number, since 2×10264828514160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37845 + ... + 4531124.

It is an arithmetic number, because the mean of its divisors is an integer number (116256527856).

Almost surely, 2^{10264828514160} is an apocalyptic number.

10264828514160 is a gapful number since it is divisible by the number (10) 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 10264828514160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18601044456960).

10264828514160 is an abundant number, since it is smaller than the sum of its proper divisors (26937260399760).

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

10264828514160 is a wasteful number, since it uses less digits than its factorization.

10264828514160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569056 (or 4569050 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 10264828514160 in words is "ten trillion, two hundred sixty-four billion, eight hundred twenty-eight million, five hundred fourteen thousand, one hundred sixty".