10553077872 has 120 divisors (see below), whose sum is σ = 30915271296. Its totient is φ = 3484679616.

The previous prime is 10553077859. The next prime is 10553077889. The reversal of 10553077872 is 27877035501.

10553077872 is a `hidden beast` number, since 10 + 553 + 0 + 7 + 7 + 87 + 2 = 666.

It is a super-2 number, since 2×10553077872² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403333 + ... + 428699.

Almost surely, 2^10553077872 is an apocalyptic number.

10553077872 is a gapful number since it is divisible by the number (12) 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 10553077872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15457635648).

10553077872 is an abundant number, since it is smaller than the sum of its proper divisors (20362193424).

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

10553077872 is a wasteful number, since it uses less digits than its factorization.

10553077872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25497 (or 25479 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 10553077872 in words is "ten billion, five hundred fifty-three million, seventy-seven thousand, eight hundred seventy-two".