10553346000 has 240 divisors, whose sum is σ = 37083318480. Its totient is φ = 2797132800.

The previous prime is 10553345987. The next prime is 10553346017. The reversal of 10553346000 is 64335501.

10553346000 is a `hidden beast` number, since 1 + 0 + 5 + 53 + 3 + 4 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36433296 + 10516912704 = 6036^2 + 102552^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10553346000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3112306 + ... + 3115694.

It is an arithmetic number, because the mean of its divisors is an integer number (154513827).

Almost surely, 2^10553346000 is an apocalyptic number.

10553346000 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 10553346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18541659240).

10553346000 is an abundant number, since it is smaller than the sum of its proper divisors (26529972480).

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

10553346000 is a wasteful number, since it uses less digits than its factorization.

10553346000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 10553346000 in words is "ten billion, five hundred fifty-three million, three hundred forty-six thousand".