11915585740800 has 2520 divisors, whose sum is σ = 52205732407224. Its totient is φ = 2678414376960.

The previous prime is 11915585740789. The next prime is 11915585740801. The reversal of 11915585740800 is 804758551911.

11915585740800 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 558 + 5 + 7 + 4 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11915585740801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 86975078332 + ... + 86975078468.

Almost surely, 2^{11915585740800} is an apocalyptic number.

11915585740800 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 11915585740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26102866203612).

11915585740800 is an abundant number, since it is smaller than the sum of its proper divisors (40290146666424).

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

11915585740800 is a wasteful number, since it uses less digits than its factorization.

11915585740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 54.

The spelling of 11915585740800 in words is "eleven trillion, nine hundred fifteen billion, five hundred eighty-five million, seven hundred forty thousand, eight hundred".