11884797872640 has 1200 divisors, whose sum is σ = 52385525745696. Its totient is φ = 2469441945600.

The previous prime is 11884797872579. The next prime is 11884797872641. The reversal of 11884797872640 is 4627879748811.

11884797872640 is a `hidden beast` number, since 1 + 1 + 88 + 479 + 7 + 8 + 72 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (11884797872641) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 608499675 + ... + 608519205.

Almost surely, 2^{11884797872640} is an apocalyptic number.

11884797872640 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 11884797872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26192762872848).

11884797872640 is an abundant number, since it is smaller than the sum of its proper divisors (40500727873056).

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

11884797872640 is an equidigital number, since it uses as much as digits as its factorization.

11884797872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19599 (or 19559 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 72.

The spelling of 11884797872640 in words is "eleven trillion, eight hundred eighty-four billion, seven hundred ninety-seven million, eight hundred seventy-two thousand, six hundred forty".