10628485610400 has 432 divisors, whose sum is σ = 44715561770880. Its totient is φ = 2429367897600.

The previous prime is 10628485610387. The next prime is 10628485610467. The reversal of 10628485610400 is 401658482601.

It is a happy number.

10628485610400 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 8 + 48 + 561 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×10628485610400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3962616 + ... + 6079415.

It is an arithmetic number, because the mean of its divisors is an integer number (103508244840).

Almost surely, 2^{10628485610400} is an apocalyptic number.

10628485610400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10628485610400 is an abundant number, since it is smaller than the sum of its proper divisors (34087076160480).

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

10628485610400 is a wasteful number, since it uses less digits than its factorization.

10628485610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10042074 (or 10042048 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10628485610400 in words is "ten trillion, six hundred twenty-eight billion, four hundred eighty-five million, six hundred ten thousand, four hundred".