11657765028000 has 2304 divisors, whose sum is σ = 50997160521216. Its totient is φ = 2299517337600.

The previous prime is 11657765027969. The next prime is 11657765028029. The reversal of 11657765028000 is 82056775611.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36775283842 + ... + 36775284158.

It is an arithmetic number, because the mean of its divisors is an integer number (22134184254).

Almost surely, 2^{11657765028000} is an apocalyptic number.

11657765028000 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 11657765028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25498580260608).

11657765028000 is an abundant number, since it is smaller than the sum of its proper divisors (39339395493216).

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

11657765028000 is a wasteful number, since it uses less digits than its factorization.

11657765028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 11657765028000 in words is "eleven trillion, six hundred fifty-seven billion, seven hundred sixty-five million, twenty-eight thousand".