11230642800 has 360 divisors, whose sum is σ = 43330921088. Its totient is φ = 2674944000.

The previous prime is 11230642789. The next prime is 11230642811. The reversal of 11230642800 is 824603211.

11230642800 is a `hidden beast` number, since 1 + 1 + 230 + 6 + 428 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11230642789) and next prime (11230642811).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×11230642800² (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 71 ways as a sum of consecutive naturals, for example, 1446930 + ... + 1454670.

Almost surely, 2^11230642800 is an apocalyptic number.

11230642800 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 11230642800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21665460544).

11230642800 is an abundant number, since it is smaller than the sum of its proper divisors (32100278288).

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

11230642800 is a wasteful number, since it uses less digits than its factorization.

11230642800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7809 (or 7795 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11230642800 in words is "eleven billion, two hundred thirty million, six hundred forty-two thousand, eight hundred".