11631287700 has 108 divisors (see below), whose sum is σ = 36488845120. Its totient is φ = 3099021120.

The previous prime is 11631287687. The next prime is 11631287711. The reversal of 11631287700 is 778213611.

11631287700 is a `hidden beast` number, since 11 + 631 + 2 + 8 + 7 + 7 + 0 + 0 = 666.

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

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, 1189431 + ... + 1199169.

Almost surely, 2^11631287700 is an apocalyptic number.

11631287700 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 11631287700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18244422560).

11631287700 is an abundant number, since it is smaller than the sum of its proper divisors (24857557420).

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

11631287700 is a wasteful number, since it uses less digits than its factorization.

11631287700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11086 (or 11076 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 11631287700 in words is "eleven billion, six hundred thirty-one million, two hundred eighty-seven thousand, seven hundred".