11315948880600 has 2880 divisors, whose sum is σ = 52665336345600. Its totient is φ = 2196310671360.

The previous prime is 11315948880571. The next prime is 11315948880611. The reversal of 11315948880600 is 608884951311.

It is a happy number.

11315948880600 is a `hidden beast` number, since 1 + 1 + 3 + 159 + 488 + 8 + 0 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 719 ways as a sum of consecutive naturals, for example, 15312515031 + ... + 15312515769.

It is an arithmetic number, because the mean of its divisors is an integer number (18286575120).

Almost surely, 2^{11315948880600} is an apocalyptic number.

11315948880600 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 11315948880600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26332668172800).

11315948880600 is an abundant number, since it is smaller than the sum of its proper divisors (41349387465000).

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

11315948880600 is a wasteful number, since it uses less digits than its factorization.

11315948880600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 11315948880600 in words is "eleven trillion, three hundred fifteen billion, nine hundred forty-eight million, eight hundred eighty thousand, six hundred".