10604260149984 has 288 divisors, whose sum is σ = 31624145280000. Its totient is φ = 3366377625600.

The previous prime is 10604260149943. The next prime is 10604260150019. The reversal of 10604260149984 is 48994106240601.

10604260149984 is a `hidden beast` number, since 1 + 0 + 604 + 26 + 0 + 1 + 4 + 9 + 9 + 8 + 4 = 666.

10604260149984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10604260149984² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10604260149984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652601892 + ... + 652618140.

It is an arithmetic number, because the mean of its divisors is an integer number (109806060000).

Almost surely, 2^{10604260149984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10604260149984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15812072640000).

10604260149984 is an abundant number, since it is smaller than the sum of its proper divisors (21019885130016).

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

10604260149984 is a wasteful number, since it uses less digits than its factorization.

10604260149984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17454 (or 17443 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 10604260149984 in words is "ten trillion, six hundred four billion, two hundred sixty million, one hundred forty-nine thousand, nine hundred eighty-four".