11861392100 has 72 divisors (see below), whose sum is σ = 27020020608. Its totient is φ = 4510950400.

The previous prime is 11861392097. The next prime is 11861392117. The reversal of 11861392100 is 129316811.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368660 + ... + 399540.

It is an arithmetic number, because the mean of its divisors is an integer number (375278064).

Almost surely, 2^11861392100 is an apocalyptic number.

11861392100 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 11861392100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13510010304).

11861392100 is an abundant number, since it is smaller than the sum of its proper divisors (15158628508).

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

11861392100 is a wasteful number, since it uses less digits than its factorization.

11861392100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31085 (or 31078 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The spelling of 11861392100 in words is "eleven billion, eight hundred sixty-one million, three hundred ninety-two thousand, one hundred".