10628089401600 has 2592 divisors, whose sum is σ = 46600217395200. Its totient is φ = 2359425024000.

The previous prime is 10628089401583. The next prime is 10628089401607. The reversal of 10628089401600 is 610498082601.

10628089401600 is a `hidden beast` number, since 1 + 0 + 628 + 0 + 8 + 9 + 4 + 0 + 16 + 0 + 0 = 666.

It is a super-2 number, since 2×10628089401600² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10628089401607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12315282769 + ... + 12315283631.

Almost surely, 2^{10628089401600} is an apocalyptic number.

10628089401600 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 10628089401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23300108697600).

10628089401600 is an abundant number, since it is smaller than the sum of its proper divisors (35972127993600).

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

10628089401600 is a wasteful number, since it uses less digits than its factorization.

10628089401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 10628089401600 in words is "ten trillion, six hundred twenty-eight billion, eighty-nine million, four hundred one thousand, six hundred".