11381861700 has 216 divisors, whose sum is σ = 39307859136. Its totient is φ = 2731680000.

The previous prime is 11381861693. The next prime is 11381861731. The reversal of 11381861700 is 716818311.

It is a happy number.

11381861700 is a `hidden beast` number, since 1 + 1 + 38 + 1 + 8 + 617 + 0 + 0 = 666.

It is a super-3 number, since 3×11381861700³ (a number of 31 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 994209 + ... + 1005591.

Almost surely, 2^11381861700 is an apocalyptic number.

11381861700 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 11381861700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19653929568).

11381861700 is an abundant number, since it is smaller than the sum of its proper divisors (27925997436).

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

11381861700 is a wasteful number, since it uses less digits than its factorization.

11381861700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11515 (or 11505 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 11381861700 in words is "eleven billion, three hundred eighty-one million, eight hundred sixty-one thousand, seven hundred".