11306861157900 has 576 divisors, whose sum is σ = 41000831778816. Its totient is φ = 2337185664000.

The previous prime is 11306861157899. The next prime is 11306861157913. The reversal of 11306861157900 is 975116860311.

It is a self number, because there is not a number n which added to its sum of digits gives 11306861157900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6341480409 + ... + 6341482191.

It is an arithmetic number, because the mean of its divisors is an integer number (71181999616).

Almost surely, 2^{11306861157900} is an apocalyptic number.

11306861157900 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 11306861157900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20500415889408).

11306861157900 is an abundant number, since it is smaller than the sum of its proper divisors (29693970620916).

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

11306861157900 is a wasteful number, since it uses less digits than its factorization.

11306861157900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 11306861157900 in words is "eleven trillion, three hundred six billion, eight hundred sixty-one million, one hundred fifty-seven thousand, nine hundred".