10428677683200 has 4320 divisors, whose sum is σ = 49240350759600. Its totient is φ = 2167107747840.

The previous prime is 10428677683189. The next prime is 10428677683201. The reversal of 10428677683200 is 238677682401.

10428677683200 is a `hidden beast` number, since 1 + 0 + 428 + 6 + 7 + 7 + 6 + 8 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10428677683201) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 142858598364 + ... + 142858598436.

Almost surely, 2^{10428677683200} is an apocalyptic number.

10428677683200 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 10428677683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24620175379800).

10428677683200 is an abundant number, since it is smaller than the sum of its proper divisors (38811673076400).

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

10428677683200 is a wasteful number, since it uses less digits than its factorization.

10428677683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 10428677683200 in words is "ten trillion, four hundred twenty-eight billion, six hundred seventy-seven million, six hundred eighty-three thousand, two hundred".