11867454720 has 1152 divisors, whose sum is σ = 50861260800. Its totient is φ = 2587852800.

The previous prime is 11867454713. The next prime is 11867454737. The reversal of 11867454720 is 2745476811.

11867454720 is a `hidden beast` number, since 1 + 1 + 86 + 7 + 4 + 547 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 223914214 + ... + 223914266.

It is an arithmetic number, because the mean of its divisors is an integer number (44150400).

Almost surely, 2^11867454720 is an apocalyptic number.

11867454720 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 11867454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25430630400).

11867454720 is an abundant number, since it is smaller than the sum of its proper divisors (38993806080).

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

11867454720 is a wasteful number, since it uses less digits than its factorization.

11867454720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 11867454720 in words is "eleven billion, eight hundred sixty-seven million, four hundred fifty-four thousand, seven hundred twenty".