10851380628480 has 3168 divisors, whose sum is σ = 48437503994880. Its totient is φ = 2317601341440.

The previous prime is 10851380628449. The next prime is 10851380628509. The reversal of 10851380628480 is 8482608315801.

10851380628480 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 1 + 3 + 8 + 0 + 628 + 4 + 8 + 0 = 666.

It is a super-3 number, since 3×10851380628480³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 99553950666 + ... + 99553950774.

It is an arithmetic number, because the mean of its divisors is an integer number (15289616160).

Almost surely, 2^{10851380628480} is an apocalyptic number.

10851380628480 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 10851380628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24218751997440).

10851380628480 is an abundant number, since it is smaller than the sum of its proper divisors (37586123366400).

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

10851380628480 is a wasteful number, since it uses less digits than its factorization.

10851380628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 10851380628480 in words is "ten trillion, eight hundred fifty-one billion, three hundred eighty million, six hundred twenty-eight thousand, four hundred eighty".