11651850000 has 720 divisors, whose sum is σ = 48659135616. Its totient is φ = 2643840000.

The previous prime is 11651849981. The next prime is 11651850013. The reversal of 11651850000 is 5815611.

11651850000 is a `hidden beast` number, since 1 + 1 + 651 + 8 + 5 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85049932 + ... + 85050068.

Almost surely, 2^11651850000 is an apocalyptic number.

11651850000 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 11651850000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24329567808).

11651850000 is an abundant number, since it is smaller than the sum of its proper divisors (37007285616).

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

11651850000 is an frugal number, since it uses more digits than its factorization.

11651850000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 11651850000 in words is "eleven billion, six hundred fifty-one million, eight hundred fifty thousand".