10553482977120 has 288 divisors, whose sum is σ = 37915134173280. Its totient is φ = 2665727262720.

The previous prime is 10553482977053. The next prime is 10553482977127. The reversal of 10553482977120 is 2177928435501.

10553482977120 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 3 + 482 + 97 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10553482977120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10553482977127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199619490 + ... + 199672350.

It is an arithmetic number, because the mean of its divisors is an integer number (131649771435).

Almost surely, 2^{10553482977120} is an apocalyptic number.

10553482977120 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 10553482977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957567086640).

10553482977120 is an abundant number, since it is smaller than the sum of its proper divisors (27361651196160).

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

10553482977120 is a wasteful number, since it uses less digits than its factorization.

10553482977120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60198 (or 60187 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 10553482977120 in words is "ten trillion, five hundred fifty-three billion, four hundred eighty-two million, nine hundred seventy-seven thousand, one hundred twenty".