10554255360 has 576 divisors, whose sum is σ = 41395536000. Its totient is φ = 2463498240.

The previous prime is 10554255347. The next prime is 10554255419. The reversal of 10554255360 is 6355245501.

10554255360 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 42 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10554255360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29398861 + ... + 29399219.

It is an arithmetic number, because the mean of its divisors is an integer number (71867250).

Almost surely, 2^10554255360 is an apocalyptic number.

10554255360 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 10554255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20697768000).

10554255360 is an abundant number, since it is smaller than the sum of its proper divisors (30841280640).

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

10554255360 is a wasteful number, since it uses less digits than its factorization.

10554255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 10554255360 in words is "ten billion, five hundred fifty-four million, two hundred fifty-five thousand, three hundred sixty".