11604062449920 has 576 divisors, whose sum is σ = 39373232532480. Its totient is φ = 2907579580416.

The previous prime is 11604062449853. The next prime is 11604062449937. The reversal of 11604062449920 is 2994426040611.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11604062449920.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1355135559 + ... + 1355144121.

It is an arithmetic number, because the mean of its divisors is an integer number (68356306480).

Almost surely, 2^{11604062449920} is an apocalyptic number.

11604062449920 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 11604062449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686616266240).

11604062449920 is an abundant number, since it is smaller than the sum of its proper divisors (27769170082560).

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

11604062449920 is a wasteful number, since it uses less digits than its factorization.

11604062449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8942 (or 8928 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 11604062449920 in words is "eleven trillion, six hundred four billion, sixty-two million, four hundred forty-nine thousand, nine hundred twenty".