11745020063040 has 896 divisors, whose sum is σ = 43420686336000. Its totient is φ = 2658293514240.

The previous prime is 11745020063039. The next prime is 11745020063069. The reversal of 11745020063040 is 4036002054711.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11745020062992 and 11745020063010.

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, 19607712661 + ... + 19607713259.

Almost surely, 2^{11745020063040} is an apocalyptic number.

11745020063040 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 11745020063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21710343168000).

11745020063040 is an abundant number, since it is smaller than the sum of its proper divisors (31675666272960).

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

11745020063040 is a wasteful number, since it uses less digits than its factorization.

11745020063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 11745020063040 in words is "eleven trillion, seven hundred forty-five billion, twenty million, sixty-three thousand, forty".