10861893900 has 432 divisors, whose sum is σ = 41097140448. Its totient is φ = 2363904000.

The previous prime is 10861893877. The next prime is 10861893919. The reversal of 10861893900 is 939816801.

10861893900 is a `hidden beast` number, since 1 + 0 + 86 + 189 + 390 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4760760 + ... + 4763040.

Almost surely, 2^10861893900 is an apocalyptic number.

10861893900 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 10861893900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20548570224).

10861893900 is an abundant number, since it is smaller than the sum of its proper divisors (30235246548).

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

10861893900 is a wasteful number, since it uses less digits than its factorization.

10861893900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 10861893900 in words is "ten billion, eight hundred sixty-one million, eight hundred ninety-three thousand, nine hundred".