11603961358080 has 2592 divisors, whose sum is σ = 51948555349824. Its totient is φ = 2180187684864.

The previous prime is 11603961358039. The next prime is 11603961358111. The reversal of 11603961358080 is 8085316930611.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15011592574 + ... + 15011593346.

It is an arithmetic number, because the mean of its divisors is an integer number (20041880922).

Almost surely, 2^{11603961358080} is an apocalyptic number.

11603961358080 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 11603961358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25974277674912).

11603961358080 is an abundant number, since it is smaller than the sum of its proper divisors (40344593991744).

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

11603961358080 is a wasteful number, since it uses less digits than its factorization.

11603961358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 11603961358080 in words is "eleven trillion, six hundred three billion, nine hundred sixty-one million, three hundred fifty-eight thousand, eighty".