10055981246220 has 960 divisors, whose sum is σ = 39354292454400. Its totient is φ = 2093022996480.

The previous prime is 10055981246219. The next prime is 10055981246221. The reversal of 10055981246220 is 2264218955001.

10055981246220 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 5 + 9 + 8 + 12 + 4 + 622 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10055981246219) and next prime (10055981246221).

It is a super-2 number, since 2×10055981246220² (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 not an unprimeable number, because it can be changed into a prime (10055981246221) 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 319 ways as a sum of consecutive naturals, for example, 3456850126 + ... + 3456853034.

It is an arithmetic number, because the mean of its divisors is an integer number (40994054640).

Almost surely, 2^{10055981246220} is an apocalyptic number.

10055981246220 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 10055981246220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19677146227200).

10055981246220 is an abundant number, since it is smaller than the sum of its proper divisors (29298311208180).

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

10055981246220 is a wasteful number, since it uses less digits than its factorization.

10055981246220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10055981246220 in words is "ten trillion, fifty-five billion, nine hundred eighty-one million, two hundred forty-six thousand, two hundred twenty".