11630545920 has 1056 divisors, whose sum is σ = 51413434560. Its totient is φ = 2477260800.

The previous prime is 11630545919. The next prime is 11630545951. The reversal of 11630545920 is 2954503611.

11630545920 is a `hidden beast` number, since 1 + 1 + 63 + 0 + 5 + 4 + 592 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115153870 + ... + 115153970.

Almost surely, 2^11630545920 is an apocalyptic number.

11630545920 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 11630545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25706717280).

11630545920 is an abundant number, since it is smaller than the sum of its proper divisors (39782888640).

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

11630545920 is a wasteful number, since it uses less digits than its factorization.

11630545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 11630545920 in words is "eleven billion, six hundred thirty million, five hundred forty-five thousand, nine hundred twenty".