11901319372800 has 3360 divisors, whose sum is σ = 53891501035680. Its totient is φ = 2556533145600.

The previous prime is 11901319372753. The next prime is 11901319372807. The reversal of 11901319372800 is 827391310911.

It is a happy number.

11901319372800 is a `hidden beast` number, since 1 + 190 + 1 + 3 + 19 + 372 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11901319372807) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 68793753514 + ... + 68793753686.

It is an arithmetic number, because the mean of its divisors is an integer number (16039137213).

Almost surely, 2^{11901319372800} is an apocalyptic number.

11901319372800 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 11901319372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26945750517840).

11901319372800 is an abundant number, since it is smaller than the sum of its proper divisors (41990181662880).

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

11901319372800 is a wasteful number, since it uses less digits than its factorization.

11901319372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 11901319372800 in words is "eleven trillion, nine hundred one billion, three hundred nineteen million, three hundred seventy-two thousand, eight hundred".