10530111600 has 180 divisors, whose sum is σ = 38465947000. Its totient is φ = 2660221440.

The previous prime is 10530111583. The next prime is 10530111611. The reversal of 10530111600 is 611103501.

10530111600 is a `hidden beast` number, since 1 + 0 + 53 + 0 + 1 + 11 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10530111600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8575 + ... + 145374.

Almost surely, 2^10530111600 is an apocalyptic number.

10530111600 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 10530111600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19232973500).

10530111600 is an abundant number, since it is smaller than the sum of its proper divisors (27935835400).

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

10530111600 is a wasteful number, since it uses less digits than its factorization.

10530111600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153992 (or 153978 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The spelling of 10530111600 in words is "ten billion, five hundred thirty million, one hundred eleven thousand, six hundred".